andy has 9 math books and 6 reading books if he wants to distribute them evenly among some bookshelves so that each has the same combination of books with none left over what is the greatest number of bookshelves andy can use

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given :

Andy has 9 math books and 6 reading books.

To find the greatest number of bookshelves we have to find the greatest common factor of 9 and 6.

9 = 3 * 3

6 = 2 * 3 

So, the GCF is 3.  

Hence,  3 is the most shelves he can have for an even number of books on each shelf.