Question

Ms. Madison directs two choruses. One chorus has 28 students. The other Chorus has 36 students. For rehearsals, she wants to divide each chorus into the largest possible egaul groups,with no students left over. How many students will be in each group?

Answer 1

Answer: 4

Explanation:

Given : Ms. Madison directs two choruses. One chorus has 28 students. The other Chorus has 36 students.

For rehearsals, she wants to divide each chorus into the largest possible equal groups,with no students left over.

Then, the number students will be in each group = GCF (28, 36)

[Note : GCF= Greatest common factor]

Prime factorization of 28 and 36 :

`28=2*2*7\\36=2*2*3*3`

GCF(28, 36)=
`2*2=4`

Hence, the number of students will be in each group.