Question

you have 60 nickles, 48 dimes, and 42 quarters. you want to divide the coins into identical groups with no coins left over. what is thye greatest number of groups that you can make?

Answer 1

The greatest common divisor of the three numbers is

`GCD(60,48,42)=6`

This means that we can divide all numbers by 6:

`60/ 6=10,\quad 48/ 6=8,\quad 42/ 6=7`

So, if each group has 10 nickles, 8 dimes and 7 quarters, you will form 6 groups.