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Math Help - Another coprime proof

  1. #1
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    Another coprime proof

    Hi all,

    Prove that if gcd(a,m) = gcd(b,m) = 1 then gcd(ab,m) = 1.
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  2. #2
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    Quote Originally Posted by sirellwood View Post
    Hi all,

    Prove that if gcd(a,m) = gcd(b,m) = 1 then gcd(ab,m) = 1.

    Suppose there's a prime p s.t. p divides ab and m ==> (p divides a or p divides b) and (p divides m) ==>....

    Tonio
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  3. #3
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    I see where you are going! thanks!
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