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Math Help - Gcf

  1. #1
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    Gcf

    Find the greatest common factor of 975, 195, and 325.


    I am having a brain freeze tonight. I can't seem to figure out any problems
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  2. #2
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    Quote Originally Posted by Patience View Post
    Find the greatest common factor of 975, 195, and 325.


    I am having a brain freeze tonight. I can't seem to figure out any problems
    Decompose each into its prime factors:

    975=3x5x5x13
    195=3x5x13
    325=5x5x13

    Now the greatest common factor will be the product of the prime factors
    common to all these decompositions: 5x13=65.

    RonL
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Patience View Post
    Find the greatest common factor of 975, 195, and 325.


    I am having a brain freeze tonight. I can't seem to figure out any problems
    Of course as 975=3*325, you only need to find the gcf of 325 and 195.

    In addition to the prime factorisation method you can use the Euclidean
    Algorithm for this, if you have covered it.

    RonL
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