Given that the greatest common divisor of a and B is 15 and the least common multiple is 90, what are the two numbers? Explain the method, not just the answer

Given that the greatest common divisor of a and B is 15 and the least common multiple is 90, what are the two numbers? Explain the method, not just the answer

90/15=6
6=2*3=1*6
So it's: 15, 90 or 30, 45

The quotient of a divided by B is 15, and the greatest common factor of a and B is______ The least common multiple is______ ．

The quotient of number a divided by number B is 15, which means that number a is an integral multiple of number B, so the greatest common factor of number a and number B is number B; the least common multiple of number a and number B is number A. so the answer is number B, number a

The greatest common divisor of two numbers is 15, and the least common multiple is 180. What are these two numbers?

Because 180 △ 15 = 12, 12 can be decomposed into two coprime numbers, i.e. 1 and 12, 3 and 4, so the two numbers have several situations: 15 × 3 × 2 = 90, 15 × 2 = 30 (not in line with the meaning of the topic), 15 × 3 = 45, 15 × 4 = 60, 15 × 1 = 15, 15 × 12 = 180, so the two numbers may be 45 and 60 or 15 and 180