分析:非0自然數(shù)A和B,若A=
B,則B=3A,B數(shù)能被A數(shù)整除,說明B數(shù)是A數(shù)的整數(shù)倍,求兩個數(shù)為倍數(shù)關系時的最大公因數(shù):兩個數(shù)為倍數(shù)關系,最大公因數(shù)為較小的數(shù);最小公倍數(shù)是較大的數(shù);由此解答問題即可.
解答:解:非0自然數(shù)A和B,若A=
B,則B=3A,B數(shù)能被A數(shù)整除,說明B數(shù)是A數(shù)的整數(shù)倍,
所以A、B的最大公因數(shù)是 A,最小公倍數(shù)是 B.
故答案為:A,B.
點評:此題主要考查求兩個數(shù)為倍數(shù)關系時的最大公因數(shù):兩個數(shù)為倍數(shù)關系,最大公因數(shù)為較小的數(shù);最小公倍數(shù)是較大的數(shù).