GCF of 8866/159, 9715/9674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8866/159, 9715/9674 i.e 1/1538166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8866/159, 9715/9674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8866/159,9715/9674?
Given fractions are 8866/159,9715/9674
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8866/159,9715/9674, numerators are 8866,9715
Denominators are 159,9674
The GCF of 8866,9715 is 1 .
LCM of 159,9674 is 1538166.
The greatest common factor of 8866/159,9715/9674 = [GCF of 8866,9715]/[LCM of 159,9674]= 1/1538166
Therefore, the GCF of 8866/159,9715/9674 is 1/1538166.
To find the highest common factor of 8866,9715, we have to find the factors of both numbers and list the highest common factor.
The factors of 8866 are 1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866
The factors of 9715 are 1, 5, 29, 67, 145, 335, 1943, 9715
The HCF of 8866,9715 is 1.
Lets's calculate GCF of 8866,9715
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8866,9715 By Matching Biggest Common Factor Method
Now, list down the factors of 8866
:1,2,11,13,22,26,31,62,143,286,341,403,682,806,4433,8866
Now, list down the factors of 9715
:1,5,29,67,145,335,1943,9715
Greatest Common Factor
We found the factors 8866,9715 . The biggest common factor number is the GCF number.
So the greatest common factor 8866,9715 is 1.
Lets's calculate LCM of 159,9674
Given numbers has no common factors except 1. So, there LCM is their product i.e 1538166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1538166
Therefore, the GCF of Fractions 8866/159,9715/9674 is 1/1538166
Least Common Multiple of 159,9674 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 159,9674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,9674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,9674) x common factors =1 x 1 = 1
LCM(159,9674) = ( 159 × 9674 ) / 1
LCM(159,9674) = 1538166 / 1
LCM(159,9674) = 1538166
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FAQs on GCF of Fractions of 8866/159, 9715/9674
1. What is the HCF of 8866,9715?
The HCF of 8866,9715 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8866/159, 9715/9674?
Answer: GCF of Numerators as per given numbers 8866/159, 9715/9674 is
GCF of Numerators i.e. for 8866,9715 is 1
LCM of denominators i.e. for 159,9674 is 1538166.
Thus, GCF of Fractions is 1/1538166.Finally, GCF of Fractions for 8866/159, 9715/9674 is 1/1538166.