A choir teacher is dividing 6 sopranos and 20 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make?

Answer :

GCF (Greatest Common Factor)

6: 1,2,3,6
20: 1,2,4,5,10,20

2 is the greatest number in both, therefore there can only be 2 groups of 3 sopranos, and 10 altos.

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