Find the greatest common factor and least common multiple of 924, 396.

univerkov | April 10, 2021 | education

Let’s expand the numbers 924 and 396 into prime factors.
Prime factorization of 924: 924 = 2 * 2 * 3 * 7 * 11.
Prime factorization of 396: 396 = 3 * 3 * 2 * 2 * 11.
The greatest common divisor of numbers is the product of the common prime factors of those numbers.
Then GCD (924; 396) = 3 * 2 * 2 * 11 = 132.
The least common multiple of natural numbers is the product of the expansion of one of the numbers completely and new factors from the other expansion.
Then the LCM (924, 396) = 3 * 3 * 2 * 2 * 11 * 7 = 2 772.
Answer: LCM (924.396) = 2 772; GCD (924.396) = 132.

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