GCF of 7957/931, 9413/4421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7957/931, 9413/4421 i.e 1/4115951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7957/931, 9413/4421.
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 7957/931,9413/4421?
Given fractions are 7957/931,9413/4421
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 7957/931,9413/4421, numerators are 7957,9413
Denominators are 931,4421
The GCF of 7957,9413 is 1 .
LCM of 931,4421 is 4115951.
The greatest common factor of 7957/931,9413/4421 = [GCF of 7957,9413]/[LCM of 931,4421]= 1/4115951
Therefore, the GCF of 7957/931,9413/4421 is 1/4115951.
To find the highest common factor of 7957,9413, we have to find the factors of both numbers and list the highest common factor.
The factors of 7957 are 1, 73, 109, 7957
The factors of 9413 are 1, 9413
The HCF of 7957,9413 is 1.
Lets's calculate GCF of 7957,9413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7957,9413 By Matching Biggest Common Factor Method
Now, list down the factors of 7957
:1,73,109,7957
Now, list down the factors of 9413
:1,9413
Greatest Common Factor
We found the factors 7957,9413 . The biggest common factor number is the GCF number.
So the greatest common factor 7957,9413 is 1.
Lets's calculate LCM of 931,4421
Given numbers has no common factors except 1. So, there LCM is their product i.e 4115951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4115951
Therefore, the GCF of Fractions 7957/931,9413/4421 is 1/4115951
Least Common Multiple of 931,4421 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 931,4421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,4421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,4421) x common factors =1 x 1 = 1
LCM(931,4421) = ( 931 × 4421 ) / 1
LCM(931,4421) = 4115951 / 1
LCM(931,4421) = 4115951
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FAQs on GCF of Fractions of 7957/931, 9413/4421
1. What is the HCF of 7957,9413?
The HCF of 7957,9413 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 7957/931, 9413/4421?
Answer: GCF of Numerators as per given numbers 7957/931, 9413/4421 is
GCF of Numerators i.e. for 7957,9413 is 1
LCM of denominators i.e. for 931,4421 is 4115951.
Thus, GCF of Fractions is 1/4115951.Finally, GCF of Fractions for 7957/931, 9413/4421 is 1/4115951.