GCF of 961/688, 8052/715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 961/688, 8052/715 i.e 1/491920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/688, 8052/715.
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 961/688,8052/715?
Given fractions are 961/688,8052/715
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 961/688,8052/715, numerators are 961,8052
Denominators are 688,715
The GCF of 961,8052 is 1 .
LCM of 688,715 is 491920.
The greatest common factor of 961/688,8052/715 = [GCF of 961,8052]/[LCM of 688,715]= 1/491920
Therefore, the GCF of 961/688,8052/715 is 1/491920.
To find the highest common factor of 961,8052, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052
The HCF of 961,8052 is 1.
Lets's calculate GCF of 961,8052
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 961,8052 By Matching Biggest Common Factor Method
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 8052
:1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052
Greatest Common Factor
We found the factors 961,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 961,8052 is 1.
Lets's calculate LCM of 688,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 491920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491920
Therefore, the GCF of Fractions 961/688,8052/715 is 1/491920
Least Common Multiple of 688,715 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 688,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,715) x common factors =1 x 1 = 1
LCM(688,715) = ( 688 × 715 ) / 1
LCM(688,715) = 491920 / 1
LCM(688,715) = 491920
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FAQs on GCF of Fractions of 961/688, 8052/715
1. What is the HCF of 961,8052?
The HCF of 961,8052 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 961/688, 8052/715?
Answer: GCF of Numerators as per given numbers 961/688, 8052/715 is
GCF of Numerators i.e. for 961,8052 is 1
LCM of denominators i.e. for 688,715 is 491920.
Thus, GCF of Fractions is 1/491920.Finally, GCF of Fractions for 961/688, 8052/715 is 1/491920.