Greatest Common Factor

A conductor is dividing his orchestra into smaller ensembles. Each ensemble will have the same number of each instrument. There are 48 violinists, 24 violists, and 36 cellists. What is the greatest number of ensembles that the conductor can make? How many violinists, violists, and cellists will be in each ensemble?

Work with your partner to figure out this problem. What did you need to know and how did you solve it?