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Prove that of a,b,c are natural numbers

  1. Feb 24, 2004 #1
    I would greatly appreciate if someone just at least put me in the right direction with this. I have to prove this:

    Prove that of a,b,c are natural numbers, gcd(a,c) = 1 and b divides c, then gcd(a,b) = 1.
  2. jcsd
  3. Feb 25, 2004 #2

    matt grime

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    Write down the defintion of gcd, what properties does gcd have, in particular gdc(x,y) and dividing x and y. Consider if d is a divisor of b then is it a divisor of c?
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