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Homework Help: Greatest common denominator.

  1. Oct 14, 2013 #1
    1. The problem statement, all variables and given/known data
    Show that in order to find common denominator of a,b,c, you can first find the gcd to a and b called d.
    Then gcd(a,b,c)= gcd(d,c)

    2. Relevant equations

    3. The attempt at a solution

    I know that we atleast must have that gcd(a,b,c) divides d, can I use that?
  2. jcsd
  3. Oct 14, 2013 #2


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    Science Advisor
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    Gold Member

    Yes, that will help you show that gcd(a,b,c) divides gcd(c,d). Then you have to show the converse.
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