GCF of 8375/767, 9682/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8375/767, 9682/961 i.e 1/737087 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8375/767, 9682/961.
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 8375/767,9682/961?
Given fractions are 8375/767,9682/961
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 8375/767,9682/961, numerators are 8375,9682
Denominators are 767,961
The GCF of 8375,9682 is 1 .
LCM of 767,961 is 737087.
The greatest common factor of 8375/767,9682/961 = [GCF of 8375,9682]/[LCM of 767,961]= 1/737087
Therefore, the GCF of 8375/767,9682/961 is 1/737087.
To find the highest common factor of 8375,9682, we have to find the factors of both numbers and list the highest common factor.
The factors of 8375 are 1, 5, 25, 67, 125, 335, 1675, 8375
The factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682
The HCF of 8375,9682 is 1.
Lets's calculate GCF of 8375,9682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8375,9682 By Matching Biggest Common Factor Method
Now, list down the factors of 8375
:1,5,25,67,125,335,1675,8375
Now, list down the factors of 9682
:1,2,47,94,103,206,4841,9682
Greatest Common Factor
We found the factors 8375,9682 . The biggest common factor number is the GCF number.
So the greatest common factor 8375,9682 is 1.
Lets's calculate LCM of 767,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 737087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/737087
Therefore, the GCF of Fractions 8375/767,9682/961 is 1/737087
Least Common Multiple of 767,961 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 767,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,961) x common factors =1 x 1 = 1
LCM(767,961) = ( 767 × 961 ) / 1
LCM(767,961) = 737087 / 1
LCM(767,961) = 737087
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FAQs on GCF of Fractions of 8375/767, 9682/961
1. What is the HCF of 8375,9682?
The HCF of 8375,9682 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 8375/767, 9682/961?
Answer: GCF of Numerators as per given numbers 8375/767, 9682/961 is
GCF of Numerators i.e. for 8375,9682 is 1
LCM of denominators i.e. for 767,961 is 737087.
Thus, GCF of Fractions is 1/737087.Finally, GCF of Fractions for 8375/767, 9682/961 is 1/737087.