When will she have both activities again on the same day?

Question

Eva volunteers for at the retirement community center every 45 days. She also has choir practice every 6 days. She has both activities planned for this sunday.

Answer 1

What is the GCF of 45 and 6?

45:  3 * 3 * 5

6:  2 * 3

The GCF is made by multiplying together the list of prime numbers needed to make 45 and 6.

We need 2, 3, 3, and 5 to make 45 or 6, so the GCF is 2 * 3 * 3 * 5 = 90

She will have both activities 90 days after this Sunday.