The 24 girls in 20 boys to school gym clothes have to be split into groups for a team building activity. If each group must be identical, what is the maximum number of groups that can be made?

4

Step-by-step explanation:

Given: Total girls = 24

Total boys = 20

If each group must be identical, then the maximum number of groups that can be made = GCD(24,20)   [GCD= Greatest common divisor]

Since 24 = 2 x 2 x 2 x 3

20 = 2 x 2 x 5

GCD(24,20)= 2 x 2 = 4

Hence, the maximum number of groups that can be made = 4