math finite math

Question

At South Park Senior High School, there are 378 students in the Junior Class and 270 students in the Senior Class. To let the juniors work with more experienced students, the teachers want to assign the students to committees with the same number of juniors in each committee and the same number of seniors in each committee. (For example, there might be 2 juniors and 3 seniors in every committee). What is the largest number of committees that can be formed?

Answer 1

The number of committees is equal to the GCF

 

378 = 2 · 3³ · 7

270 = 2 · 3³ · 5

 

27 committees can be formed.