Question

НОК(a;b)=36 НОД(a;b)=? a•b=432

Answer 1

Я вот подобрала по НОК сразу: 36 и 12, просто подбор:). НОД - 12, 36 же на 12 делится, да и 12 на 12 тоже. 36*12=432. Никто не отменял подбор

Answer 2

To find the greatest common divisor (GCD) of two numbers, we need to know their prime factorization. However, since we are given the least common multiple (LCM) of the two numbers (36) and their product (432), we can find their GCD using the following relationship:

GCD(a, b) = (a * b) / LCM(a, b)

Given that the LCM(a, b) is 36 and a * b is 432, we can calculate the GCD:

GCD(a, b) = 432 / 36 = 12

So, the greatest common divisor of a and b is 12.