Question

Calculate the greatest common divisor of 441 and 756.

Answer 1

Answer:gcf 63

Step-by-step explanation:Find the prime factorization of 441

441 = 3 × 3 × 7 × 7

Find the prime factorization of 756

756 = 2 × 2 × 3 × 3 × 3 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3 × 7

GCF = 63

Answer 2

Answer:

The greatest common divisor of 441 and 756 is 63.

Step-by-step explanation:

Find the prime factorization of 441

441 = 3 × 3 × 7 × 7

Find the prime factorization of 756

756 = 2 × 2 × 3 × 3 × 3 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3 × 7

GCF = 63

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