Question

Annie wants to make several plates of apples apricots, so that each plate has the same number of apples and the same number of apricots. At most how many plates can she make, if she is going to use 8 apples and 20 apricots?

Answer 1

Annie can make 4 plates with
`8:4=2` apples and
`20:4=5` apricots on each plate.

Explanation:

Annie has 8 apples and 20 apricots.

Factor these numbers:

`8=2\cdot 4=2\cdot 2\cdot 2\\ \\20=2\cdot 10=2\cdot 2\cdot 5`

Find GCF(8,20):

`GCF(8,20)=2\cdot 2=4`

Hence, Annie can make 4 plates with
`8:4=2` apples and
`20:4=5` apricots on each plate.