If Ba = C (a, B, C are all natural numbers not equal to 0), the greatest common factor of a and B is______ The least common multiple is______ ．

If Ba = C (a, B, C are all natural numbers not equal to 0), the greatest common factor of a and B is______ The least common multiple is______ ．

From the meaning of the question, B △ a = C (a, B, C are not equal to 0 of the natural number), we know that B is a multiple of a, so the greatest common factor of a and B is a, the least common multiple is B; so the answer is: a, B

A = B-1 (AB is a natural number, a is not equal to 0), then the greatest common divisor of a and B is? And the least common multiple is?

The greatest common divisor is 1
The least common multiple is a * B

It is known that the sum of two natural numbers is 54, and the difference between the least common multiple and the greatest common divisor is 114

Let two natural numbers be x and y, then x = AB, y = CB, and a, B, C are all positive integers, then AB + CB = 54 = B (a + C) = 2 × 3 × 9, abc-b = 114 = B (ac-1) = 2 × 3 × 19, because a, B, C are all positive integers, so B may be 2 or 3 or 6