Abdul is making gift baskets to share with his co-workers. He has gathered 24 DVDs, 48 packages of popcorn, and 18 boxes of candy. What is the greatest number of baskets that can be made with the same number of each item, without having any items left over?

Answer 1

The greatest number of baskets that can be made with the same number of each item is the greatest common divisor of 24, 48, and 18.

The prime factorization of 24 is 2 x 2 x 2 x 3
The prime factorization of 48 is 2 x 2 x 2 x 2 x 3
The prime factorization of 18 is 2 x 3 x 3

The greatest common divisor is 2 x 2 x 2 x 3 = 24

Therefore, Abdul can make 24 gift baskets with the same number of each item, without having any items left over.