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質因數連乘式

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用質因數連乘式,找出下列各題的H.C.F.: 1.28,56,126 2.48,108,180 更新: 幫我解答埋: 用質因數連乘式,找出下列各題的H.C.F.和L.C.M. 3.90,125,255 4.312,624,104

最佳解答:

(1) 28 = 2 x 2 x 7 56 = 2 x 2 x 2 x 7 126 = 2 x 3 x 3 x 7 HCF = 2 x 7 = 14 (2) 48 = 2 x 2 x 2 x2 x 3 108 = 2 x 2 x 3 x 3 x 3 180 = 2 x 2 x 3 x 3 x 5 HCF = 2 x 2 x 3 = 12 2009-08-08 21:21:31 補充： 90 = 2 x 3 x3 x 5 125 = 5 x 5 x 5 255 = 3 x 5 x 17 HCF = 5 LCM = 2 x 3 x 3 x 5 x 5 x 5 x 17 = 38250 312 = 2 x 2 x 2 x 3 x 13 624 = 2 x 2 x 2 x 2 x 3 x 13 104 = 2 x 2 x 2 x 13 HCF = 2 x 2 x 2 x 13 = 104 LCM = 2 x 2 x 2 x 2 x 3 x 13 = 624 2009-08-08 21:21:47 補充： 90 = 2 x 3 x3 x 5 125 = 5 x 5 x 5 255 = 3 x 5 x 17 HCF = 5 LCM = 2 x 3 x 3 x 5 x 5 x 5 x 17 = 38250 312 = 2 x 2 x 2 x 3 x 13 624 = 2 x 2 x 2 x 2 x 3 x 13 104 = 2 x 2 x 2 x 13 HCF = 2 x 2 x 2 x 13 = 104 LCM = 2 x 2 x 2 x 2 x 3 x 13 = 624

其他解答:

28 = 2^2 x 7 56 = 2^3 x 7 126 = 2 x 3^2 x 7 The H.C.F. of 28, 56, 126 is 2 x 7 = 14 48 = 2^4 x 3 108 = 2^2 x 3^3 180 = 2^2 x 3^2 x 5 The H.C.F. of 48, 108, 180 is 2^2 x 3 = 12
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