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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Originally Posted by Patience 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

Originally Posted by Patience 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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