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Question from a student:

Suppose a,b, c are integers such that gcd(a,b)=gcd(a,c)=1. Show that gcd(a,bc)=1.

Hi,.

I can help get you started.

If $p$ is a prime and $p$ divides $b \times c$ what can you say about $b$ and $c?$

Write back if you need more assistance,
Penny

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