Results 1 to 4 of 4

Math Help - common factor

  1. #1
    Newbie
    Joined
    May 2008
    Posts
    5

    common factor

    If a and b are prime numbers, what is the greatest common divisor of a4b2 and a3b3?


    The answer is a3b2. Why??

    Thanks for saving me!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,110
    Thanks
    2
    a^{4}b^{2} = a*(a^{3}b^{2})

    a^{3}b^{3} = (a^{3}b^{2})*b

    What's common between them?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2013
    From
    Florida
    Posts
    1

    Re: common factor

    TKHunny, your answer makes sense to me.. but how did you arrive at it?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,381
    Thanks
    1474
    Awards
    1

    Re: common factor

    Quote Originally Posted by certainlycrystal View Post
    TKHunny, your answer makes sense to me.. but how did you arrive at it?
    Suppose that p~\&~q are prime and each of a,~b,~c,~\&~d is a non-negative integer then:

    \text{GCD}(p^aq^b,p^cq^d)=p^xq^y where x=\min\{a,c\}~\&~y=\min\{c,d\}
    Last edited by Plato; June 11th 2013 at 04:48 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: January 25th 2011, 04:38 AM
  2. Common Factor
    Posted in the Algebra Forum
    Replies: 4
    Last Post: December 26th 2009, 02:39 PM
  3. Common Factor
    Posted in the Algebra Forum
    Replies: 3
    Last Post: August 31st 2009, 06:02 AM
  4. Replies: 2
    Last Post: March 14th 2009, 03:56 AM
  5. Replies: 3
    Last Post: August 29th 2007, 09:12 PM

Search Tags


/mathhelpforum @mathhelpforum