Question

Marco is making mosaic garden stones using red, yellow and blue tiles. He has 45 red tiles, 90 blue tiles and 75 yellow tiles. Each stone must have the same number of each color tile. What is the greatest number of stones Marco can make? How many of each color tile will Marco use in each stone? How can Marco use the GCF to find out how many tiles he has in all?

Answer 1

Find the GCF of 45, 90, 75: which is 15

So he can make 15 stones total.

Divide each of the color numbers by 15 to get the number of tiles he uses in each stone

Answer 2

The Greatest Common Factor: ( 45, 90 , 75 ) = 15
The greatest number of stones Marco can make is 15.
45 : 15 = 3
90 : 15 = 6
75 : 15 = 5
He will use:  3 red, 6 blue and 5 yellow tiles in each stone.