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English Question

發問:

Are all the common factors of 30 and 45 the factors of the h.c.f of 30 and 45? what does this mean?

最佳解答:

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中文意思 「30 和 45 的公因數 (即共同因數) 是否是 30 和 45 的最大公因數的因數﹖」 30 的因數是:3, 5, 6, 10, 15 45 的因數是: 3, 5, 9, 15 30 和 45 的公因數是 3, 5, 15, 15 是最大公因數。 3, 5, 15 當然是也是 15 的因數。 2012-09-12 23:12:32 補充: 30 的因數是:2, 3, 5, 6, 10, 15 2012-09-14 00:36:41 補充: Thanks, Godfrey, for your correction.

其他解答:

Two or more numbers are both divisible by their common factors including the highest common factor. Being the highest, the HCF is divisible by all the common factors including itself.|||||30 的因數是:1, 3, 5, 6, 10, 15, 30 (包括1, 30), 30 = 1 x 30 45 的因數是: 1, 3, 5, 9, 15, 45 (包括 1, 45), 45 = 1 x 45 30 和 45 的公因數是 3, 5, 15 15 是最大公因數 Factor = 因數 Common Factor = 公因數 Highest Comon Factor = 最大公因數|||||(mathematics):-a number that divides into another number exactly:-3 and 5 are the common factors of 30 , 45 (both in common) Also the h.c.f.=3x5 are the h.c.f. of 30 , 45 (both once the highest in common) Hence the parts(3 , 5) are to be included in largest part of (3x5).
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