What is the greatest common divisor of 30 and 45?

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Multiple Choice

What is the greatest common divisor of 30 and 45?

Explanation:
The greatest common divisor is the largest number that can divide both numbers evenly. 15 fits that role here: 30 ÷ 15 = 2 and 45 ÷ 15 = 3, so 15 divides both without a remainder. There isn't any larger number that divides both, since 30 has divisors such as 30, 15, 10, 6, 5, 3, 2, 1, and 45 has 45, 15, 9, 5, 3, 1; the only common divisors are 15, 5, 3, and 1, with 15 being the greatest.

The greatest common divisor is the largest number that can divide both numbers evenly. 15 fits that role here: 30 ÷ 15 = 2 and 45 ÷ 15 = 3, so 15 divides both without a remainder. There isn't any larger number that divides both, since 30 has divisors such as 30, 15, 10, 6, 5, 3, 2, 1, and 45 has 45, 15, 9, 5, 3, 1; the only common divisors are 15, 5, 3, and 1, with 15 being the greatest.

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