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甲=乙*3 , 乙/丙=5 求 甲 乙 丙 最大公因數
Mar 22nd 2014, 02:01

甲=乙*3----->甲=3乙
乙/丙=5
------->把乙換成甲/3，甲/3除以丙=5
------->甲/3*1/丙=5
------->甲/3丙=5
------->甲=15丙

因為甲=3乙，甲=15丙，所以 -->乙=5丙
最後的結果:
甲=3乙
甲=15丙
乙=5丙

假設丙=x(x≠0)
則甲=15x，乙=5x

------>很快的就可以看出x，5x，15x的最大功因數就是x
所以甲，乙，丙的最大功因數是丙

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