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{"sheet":"Sheet1","index":0,"n_rows":55,"n_cols":13,"rows_kept":55,"cut":false,"hidden":false,"merged":[[8,11,8,12],[2,1,2,3],[3,1,3,3],[0,11,0,12],[5,11,5,12],[6,11,6,12]]}
[null,null,null,null,null,null,null,null,null,null,null,"http://withseok.tistory.com"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Ver.20.0330.0932"]
[null,"두수의 최대 공약수 구하기",null,null,null,"첫 수","두번째 수",null,"최대공약수",null,null,"순위"]
[null,"유클리드 알고리즘 이용",null,null,null,560,315,null,{"$f":"IF(AND(F5=\"정수\",G5=\"정수\"),IF(INDEX(C:C,MATCH(0,E:E,0),)=1,\"서로소 (1)\",INDEX(C:C,MATCH(0,E:E,0),)),\"정수를 입력하세요.\")","v":35},"최대공약소",null,{"$f":"RANK(F4,$F$4:$G$4)","v":1},{"$f":"RANK(G4,$F$4:$G$4)","v":2}]
[null,null,null,null,null,{"$f":"IF(INT(F4)=F4,\"정수\",\"소수\")","v":"정수"},{"$f":"IF(INT(G4)=G4,\"정수\",\"소수\")","v":"정수"},null,{"$f":"IF(I4=\"서로소 (1)\",(F4/1)*(G4/1)*1,(F4/I4)*(G4/I4)*I4)","v":5040},"최소공배수",null,{"$f":"IF(L4=1,F4,G4)","v":560},{"$f":"IF(M4=2,G4,F4)","v":315}]
[null,"수1","수2","몫","나머지",null,null,null,{"$f":"F4&\" x \"&G4&\" = \"&IF(I4=\"서로소 (1)\",1,I4)&\" x \"&I5 &\" = \"&F4*G4","v":"560 x 315 = 35 x 5040 = 176400"},"관계",null,"비율"]
[null,{"$f":"L5","v":560},{"$f":"M5","v":315},{"$f":"(B7-E7)/C7","v":1},{"$f":"MOD(B7,C7)","v":245},null,{"$f":"B7","v":560},"=",{"$f":"\" \" & C7&\" x \"&D7&\" + \"&E7","v":" 315 x 1 + 245"},null,null,{"$f":"(L5/I4)&\"            :            \"&(M5/I4)","v":"16            :            9"}]
[]
[null,{"$f":"IF(OR(E7=\"\",E7=0),\"\",C7)","v":315},{"$f":"IF(OR(E7=\"\",E7=0),\"\",MOD(B7,C7))","v":245},{"$f":"IF(OR(E7=\"\",E7=0),\"\",(B9-E9)/C9)","v":1},{"$f":"IF(OR(E7=\"\",E7=0),\"\",MOD(B9,C9))","v":70},null,{"$f":"B9","v":315},{"$f":"IF(OR(E7=0,E7=\"\"),\"\",\"=\")","v":"="},{"$f":"IF(OR(E7=0,E7=\"\"),\"\",\" \" & C9&\" x \"&D9&\" + \"&E9)","v":" 245 x 1 + 70"},null,null,{"$f":"(L5/I4)&\" : \"&(M5/I4)&\" 비율로 유튜브 영상 비율 찾기\"","v":"16 : 9 비율로 유튜브 영상 비율 찾기"}]
[null,null,null,null,null,null,null,null,null,null,null,"입력 가로","결과 세로"]
[null,{"$f":"IF(OR(E9=\"\",E9=0),\"\",C9)","v":245},{"$f":"IF(OR(E9=\"\",E9=0),\"\",MOD(B9,C9))","v":70},{"$f":"IF(OR(E9=\"\",E9=0),\"\",(B11-E11)/C11)","v":3},{"$f":"IF(OR(E9=\"\",E9=0),\"\",MOD(B11,C11))","v":35},null,{"$f":"B11","v":245},{"$f":"IF(OR(E9=0,E9=\"\"),\"\",\"=\")","v":"="},{"$f":"IF(OR(E9=0,E9=\"\"),\"\",\" \" & C11&\" x \"&D11&\" + \"&E11)","v":" 70 x 3 + 35"},null,null,440,{"$f":"L11*(M5/I4)/(L5/I4)","v":247.5}]
[null,null,null,null,null,null,null,null,null,null,null,"결과 가로","입력 세로"]
[null,{"$f":"IF(OR(E11=\"\",E11=0),\"\",C11)","v":70},{"$f":"IF(OR(E11=\"\",E11=0),\"\",MOD(B11,C11))","v":35},{"$f":"IF(OR(E11=\"\",E11=0),\"\",(B13-E13)/C13)","v":2},{"$f":"IF(OR(E11=\"\",E11=0),\"\",MOD(B13,C13))","v":0},null,{"$f":"B13","v":70},{"$f":"IF(OR(E11=0,E11=\"\"),\"\",\"=\")","v":"="},{"$f":"IF(OR(E11=0,E11=\"\"),\"\",\" \" & C13&\" x \"&D13&\" + \"&E13)","v":" 35 x 2 + 0"},null,null,{"$f":"M13*(L5/I4)/(M5/I4)","v":1120},630]
[]
[null,{"$f":"IF(OR(E13=\"\",E13=0),\"\",C13)","v":""},{"$f":"IF(OR(E13=\"\",E13=0),\"\",MOD(B13,C13))","v":""},{"$f":"IF(OR(E13=\"\",E13=0),\"\",(B15-E15)/C15)","v":""},{"$f":"IF(OR(E13=\"\",E13=0),\"\",MOD(B15,C15))","v":""},null,{"$f":"B15","v":""},{"$f":"IF(OR(E13=0,E13=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E13=0,E13=\"\"),\"\",\" \" & C15&\" x \"&D15&\" + \"&E15)","v":""},null,null,"최대공약수를 구하기 위해"]
[null,null,null,null,null,null,null,null,null,null,null,"수학자 유클리드에 의해"]
[null,{"$f":"IF(OR(E15=\"\",E15=0),\"\",C15)","v":""},{"$f":"IF(OR(E15=\"\",E15=0),\"\",MOD(B15,C15))","v":""},{"$f":"IF(OR(E15=\"\",E15=0),\"\",(B17-E17)/C17)","v":""},{"$f":"IF(OR(E15=\"\",E15=0),\"\",MOD(B17,C17))","v":""},null,{"$f":"B17","v":""},{"$f":"IF(OR(E15=0,E15=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E15=0,E15=\"\"),\"\",\" \" & C17&\" x \"&D17&\" + \"&E17)","v":""},null,null,"알려진 알고리즘입니다."]
[null,null,null,null,null,null,null,null,null,null,null,"互除法, Euclidean algorithm"]
[null,{"$f":"IF(OR(E17=\"\",E17=0),\"\",C17)","v":""},{"$f":"IF(OR(E17=\"\",E17=0),\"\",MOD(B17,C17))","v":""},{"$f":"IF(OR(E17=\"\",E17=0),\"\",(B19-E19)/C19)","v":""},{"$f":"IF(OR(E17=\"\",E17=0),\"\",MOD(B19,C19))","v":""},null,{"$f":"B19","v":""},{"$f":"IF(OR(E17=0,E17=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E17=0,E17=\"\"),\"\",\" \" & C19&\" x \"&D19&\" + \"&E19)","v":""},null,null,"호제법이라고 부르기도 합니다."]
[null,null,null,null,null,null,null,null,null,null,null,"유클리드 알고리즘은 "]
[null,{"$f":"IF(OR(E19=\"\",E19=0),\"\",C19)","v":""},{"$f":"IF(OR(E19=\"\",E19=0),\"\",MOD(B19,C19))","v":""},{"$f":"IF(OR(E19=\"\",E19=0),\"\",(B21-E21)/C21)","v":""},{"$f":"IF(OR(E19=\"\",E19=0),\"\",MOD(B21,C21))","v":""},null,{"$f":"B21","v":""},{"$f":"IF(OR(E19=0,E19=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E19=0,E19=\"\"),\"\",\" \" & C21&\" x \"&D21&\" + \"&E21)","v":""},null,null,"성경 다음으로 많이 팔리고 있다는 "]
[null,null,null,null,null,null,null,null,null,null,null,"소문이 도는 유클리드 [원론]이라는 책의"]
[null,{"$f":"IF(OR(E21=\"\",E21=0),\"\",C21)","v":""},{"$f":"IF(OR(E21=\"\",E21=0),\"\",MOD(B21,C21))","v":""},{"$f":"IF(OR(E21=\"\",E21=0),\"\",(B23-E23)/C23)","v":""},{"$f":"IF(OR(E21=\"\",E21=0),\"\",MOD(B23,C23))","v":""},null,{"$f":"B23","v":""},{"$f":"IF(OR(E21=0,E21=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E21=0,E21=\"\"),\"\",\" \" & C23&\" x \"&D23&\" + \"&E23)","v":""},null,null,"제7권, 명제 1부터 3까지에 해당한다"]
[]
[null,{"$f":"IF(OR(E23=\"\",E23=0),\"\",C23)","v":""},{"$f":"IF(OR(E23=\"\",E23=0),\"\",MOD(B23,C23))","v":""},{"$f":"IF(OR(E23=\"\",E23=0),\"\",(B25-E25)/C25)","v":""},{"$f":"IF(OR(E23=\"\",E23=0),\"\",MOD(B25,C25))","v":""},null,{"$f":"B25","v":""},{"$f":"IF(OR(E23=0,E23=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E23=0,E23=\"\"),\"\",\" \" & C25&\" x \"&D25&\" + \"&E25)","v":""},null,null,{"$f":"F4&\" = \"& $I$4 &\" x \"&(F4/ $I$4)","v":"560 = 35 x 16"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"G4&\" = \"& $I$4 &\" x \"&(G4/ $I$4)","v":"315 = 35 x 9"}]
[null,{"$f":"IF(OR(E25=\"\",E25=0),\"\",C25)","v":""},{"$f":"IF(OR(E25=\"\",E25=0),\"\",MOD(B25,C25))","v":""},{"$f":"IF(OR(E25=\"\",E25=0),\"\",(B27-E27)/C27)","v":""},{"$f":"IF(OR(E25=\"\",E25=0),\"\",MOD(B27,C27))","v":""},null,{"$f":"B27","v":""},{"$f":"IF(OR(E25=0,E25=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E25=0,E25=\"\"),\"\",\" \" & C27&\" x \"&D27&\" + \"&E27)","v":""}]
[]
[null,{"$f":"IF(OR(E27=\"\",E27=0),\"\",C27)","v":""},{"$f":"IF(OR(E27=\"\",E27=0),\"\",MOD(B27,C27))","v":""},{"$f":"IF(OR(E27=\"\",E27=0),\"\",(B29-E29)/C29)","v":""},{"$f":"IF(OR(E27=\"\",E27=0),\"\",MOD(B29,C29))","v":""},null,{"$f":"B29","v":""},{"$f":"IF(OR(E27=0,E27=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E27=0,E27=\"\"),\"\",\" \" & C29&\" x \"&D29&\" + \"&E29)","v":""}]
[]
[null,{"$f":"IF(OR(E29=\"\",E29=0),\"\",C29)","v":""},{"$f":"IF(OR(E29=\"\",E29=0),\"\",MOD(B29,C29))","v":""},{"$f":"IF(OR(E29=\"\",E29=0),\"\",(B31-E31)/C31)","v":""},{"$f":"IF(OR(E29=\"\",E29=0),\"\",MOD(B31,C31))","v":""},null,{"$f":"B31","v":""},{"$f":"IF(OR(E29=0,E29=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E29=0,E29=\"\"),\"\",\" \" & C31&\" x \"&D31&\" + \"&E31)","v":""}]
[]
[null,{"$f":"IF(OR(E31=\"\",E31=0),\"\",C31)","v":""},{"$f":"IF(OR(E31=\"\",E31=0),\"\",MOD(B31,C31))","v":""},{"$f":"IF(OR(E31=\"\",E31=0),\"\",(B33-E33)/C33)","v":""},{"$f":"IF(OR(E31=\"\",E31=0),\"\",MOD(B33,C33))","v":""},null,{"$f":"B33","v":""},{"$f":"IF(OR(E31=0,E31=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E31=0,E31=\"\"),\"\",\" \" & C33&\" x \"&D33&\" + \"&E33)","v":""}]
[]
[null,{"$f":"IF(OR(E33=\"\",E33=0),\"\",C33)","v":""},{"$f":"IF(OR(E33=\"\",E33=0),\"\",MOD(B33,C33))","v":""},{"$f":"IF(OR(E33=\"\",E33=0),\"\",(B35-E35)/C35)","v":""},{"$f":"IF(OR(E33=\"\",E33=0),\"\",MOD(B35,C35))","v":""},null,{"$f":"B35","v":""},{"$f":"IF(OR(E33=0,E33=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E33=0,E33=\"\"),\"\",\" \" & C35&\" x \"&D35&\" + \"&E35)","v":""}]
[]
[null,{"$f":"IF(OR(E35=\"\",E35=0),\"\",C35)","v":""},{"$f":"IF(OR(E35=\"\",E35=0),\"\",MOD(B35,C35))","v":""},{"$f":"IF(OR(E35=\"\",E35=0),\"\",(B37-E37)/C37)","v":""},{"$f":"IF(OR(E35=\"\",E35=0),\"\",MOD(B37,C37))","v":""},null,{"$f":"B37","v":""},{"$f":"IF(OR(E35=0,E35=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E35=0,E35=\"\"),\"\",\" \" & C37&\" x \"&D37&\" + \"&E37)","v":""}]
[]
[null,{"$f":"IF(OR(E37=\"\",E37=0),\"\",C37)","v":""},{"$f":"IF(OR(E37=\"\",E37=0),\"\",MOD(B37,C37))","v":""},{"$f":"IF(OR(E37=\"\",E37=0),\"\",(B39-E39)/C39)","v":""},{"$f":"IF(OR(E37=\"\",E37=0),\"\",MOD(B39,C39))","v":""},null,{"$f":"B39","v":""},{"$f":"IF(OR(E37=0,E37=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E37=0,E37=\"\"),\"\",\" \" & C39&\" x \"&D39&\" + \"&E39)","v":""}]
[]
[null,{"$f":"IF(OR(E39=\"\",E39=0),\"\",C39)","v":""},{"$f":"IF(OR(E39=\"\",E39=0),\"\",MOD(B39,C39))","v":""},{"$f":"IF(OR(E39=\"\",E39=0),\"\",(B41-E41)/C41)","v":""},{"$f":"IF(OR(E39=\"\",E39=0),\"\",MOD(B41,C41))","v":""},null,{"$f":"B41","v":""},{"$f":"IF(OR(E39=0,E39=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E39=0,E39=\"\"),\"\",\" \" & C41&\" x \"&D41&\" + \"&E41)","v":""}]
[]
[null,{"$f":"IF(OR(E41=\"\",E41=0),\"\",C41)","v":""},{"$f":"IF(OR(E41=\"\",E41=0),\"\",MOD(B41,C41))","v":""},{"$f":"IF(OR(E41=\"\",E41=0),\"\",(B43-E43)/C43)","v":""},{"$f":"IF(OR(E41=\"\",E41=0),\"\",MOD(B43,C43))","v":""},null,{"$f":"B43","v":""},{"$f":"IF(OR(E41=0,E41=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E41=0,E41=\"\"),\"\",\" \" & C43&\" x \"&D43&\" + \"&E43)","v":""}]
[]
[null,{"$f":"IF(OR(E43=\"\",E43=0),\"\",C43)","v":""},{"$f":"IF(OR(E43=\"\",E43=0),\"\",MOD(B43,C43))","v":""},{"$f":"IF(OR(E43=\"\",E43=0),\"\",(B45-E45)/C45)","v":""},{"$f":"IF(OR(E43=\"\",E43=0),\"\",MOD(B45,C45))","v":""},null,{"$f":"B45","v":""},{"$f":"IF(OR(E43=0,E43=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E43=0,E43=\"\"),\"\",\" \" & C45&\" x \"&D45&\" + \"&E45)","v":""}]
[]
[null,{"$f":"IF(OR(E45=\"\",E45=0),\"\",C45)","v":""},{"$f":"IF(OR(E45=\"\",E45=0),\"\",MOD(B45,C45))","v":""},{"$f":"IF(OR(E45=\"\",E45=0),\"\",(B47-E47)/C47)","v":""},{"$f":"IF(OR(E45=\"\",E45=0),\"\",MOD(B47,C47))","v":""},null,{"$f":"B47","v":""},{"$f":"IF(OR(E45=0,E45=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E45=0,E45=\"\"),\"\",\" \" & C47&\" x \"&D47&\" + \"&E47)","v":""}]
[]
[null,{"$f":"IF(OR(E47=\"\",E47=0),\"\",C47)","v":""},{"$f":"IF(OR(E47=\"\",E47=0),\"\",MOD(B47,C47))","v":""},{"$f":"IF(OR(E47=\"\",E47=0),\"\",(B49-E49)/C49)","v":""},{"$f":"IF(OR(E47=\"\",E47=0),\"\",MOD(B49,C49))","v":""},null,{"$f":"B49","v":""},{"$f":"IF(OR(E47=0,E47=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E47=0,E47=\"\"),\"\",\" \" & C49&\" x \"&D49&\" + \"&E49)","v":""}]
[]
[null,{"$f":"IF(OR(E49=\"\",E49=0),\"\",C49)","v":""},{"$f":"IF(OR(E49=\"\",E49=0),\"\",MOD(B49,C49))","v":""},{"$f":"IF(OR(E49=\"\",E49=0),\"\",(B51-E51)/C51)","v":""},{"$f":"IF(OR(E49=\"\",E49=0),\"\",MOD(B51,C51))","v":""},null,{"$f":"B51","v":""},{"$f":"IF(OR(E49=0,E49=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E49=0,E49=\"\"),\"\",\" \" & C51&\" x \"&D51&\" + \"&E51)","v":""}]
[]
[null,{"$f":"IF(OR(E51=\"\",E51=0),\"\",C51)","v":""},{"$f":"IF(OR(E51=\"\",E51=0),\"\",MOD(B51,C51))","v":""},{"$f":"IF(OR(E51=\"\",E51=0),\"\",(B53-E53)/C53)","v":""},{"$f":"IF(OR(E51=\"\",E51=0),\"\",MOD(B53,C53))","v":""},null,{"$f":"B53","v":""},{"$f":"IF(OR(E51=0,E51=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E51=0,E51=\"\"),\"\",\" \" & C53&\" x \"&D53&\" + \"&E53)","v":""}]
[]
[null,{"$f":"IF(OR(E53=\"\",E53=0),\"\",C53)","v":""},{"$f":"IF(OR(E53=\"\",E53=0),\"\",MOD(B53,C53))","v":""},{"$f":"IF(OR(E53=\"\",E53=0),\"\",(B55-E55)/C55)","v":""},{"$f":"IF(OR(E53=\"\",E53=0),\"\",MOD(B55,C55))","v":""},null,{"$f":"B55","v":""},{"$f":"IF(OR(E53=0,E53=\"\"),\"\",\"=\")","v":""},{"$f":"IF(OR(E53=0,E53=\"\"),\"\",\" \" & C55&\" x \"&D55&\" + \"&E55)","v":""}]