Question

Joe is arranging video games on shelves. He has 48 playstation games and 36 xbox games, Each shelf will have the same number of playstation and xbox games. If Joe must place all of the videogames on shelves, what are the possible number of shelves Joe will use?

Answer 1

2 shelves

3 shelves

4 shelves

6 shelves

12 shelves

Explanation:

playstation games = 48

xbox games = 36

Each shelf will have the same number of playstation and xbox games.

Find the common multiples of 48 and 36

48 = 2, 3, 4, 6, 8, 12, 16, 24, 48

36 = 2, 3, 4, 6, 9, 12, 18, 36

The common multiples are 2, 3, 4, 6, and 12

Therefore, the possible number of shelves Joe will use is

2 shelves

3 shelves

4 shelves

6 shelves

12 shelves