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To solve this type of problem, the best thing to do is factor both numbers first.

45=5*3*3

60=5*3*2*2

Shared factors don't need to be repeated, so we get:

GCM=5*3*3*2*2=180

An alternative method is to multiply the two numbers together:

45*60=2700

Then divide by all shared factors

GCM=2700/5/3=180

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Q: What is the gcm of 45 and 60?
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