GCD: 17
LCM: 255
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The GCF is 17.
The greatest number which divides both 51 and 85 is 17. So, greatest common factor is 17.Alternate method:P.F. of 51 = 3x17P.F. of 85 = 5x17Clearly, from the P.F. of both numbers 17 is the greatest common factor.The GCF is 17.51 and 85's highest common factor is 17.
Factors of 34 are 1 , 2 , 17 , 34.Factors of 85 are 1 , 5 , 17 , 85.Factors of 68 are 1 , 2 , 4 , 17 , 34 , 68.Factors of 51 are 1 , 3 , 17 , 51.The Greatest Common Factor is 17
To find the greatest common factor between two numbers, we do the following multiple times:(1) Take the remainder of the larger divided by the smaller(2) If there is no remaineder, the smaller is the GCF.(3) Repeat the process with the smaller number and the remainder.Example: GCF of 18 and 10.18/10=1 R 8. So, we take the GCF of 8 and 10.10/8=1 R 2. We take the GCF of 2 and 8.8/2=4 R 0. By rule #2, 2 is our GCF.Lets use 85 and 51.85/51=1 R 3451/34=1 R 1734/17=2 R 0.Our answer is 17.------------------------------------------------------------------------------------------------Or an easier way to do it is factor trees. 51 85^ ^5 17 3 17The numbers cannot be simplified any more, so there fore the GCF is 17.Factors of 85:1,5,17,51Factors of 51:1,3,17,51Therefore, the greatest common factor is 17.It is: 17
The GCF of 75, 85, and 95 is 5.