Question

Dominick has 24 baseball awards and 18 soccer awards. He wants to build shelves so that he can display all his awards. He wants the same number of each type of award on each shelf. What is the greatest number of shelves Dominick will make?

Answer 1

List the multiples of each award:

24: 1 , 2, 3, 4, 6, 8, 12, 24

18: 1, 2, 3, 6, 9, 18

The greatest common multiple is 6

The greatest number of shelves will be 6.