GCF of 7671/861, 5362/2937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7671/861, 5362/2937 i.e 1/842919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7671/861, 5362/2937.
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 7671/861,5362/2937?
Given fractions are 7671/861,5362/2937
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 7671/861,5362/2937, numerators are 7671,5362
Denominators are 861,2937
The GCF of 7671,5362 is 1 .
LCM of 861,2937 is 842919.
The greatest common factor of 7671/861,5362/2937 = [GCF of 7671,5362]/[LCM of 861,2937]= 1/842919
Therefore, the GCF of 7671/861,5362/2937 is 1/842919.
To find the highest common factor of 7671,5362, we have to find the factors of both numbers and list the highest common factor.
The factors of 7671 are 1, 3, 2557, 7671
The factors of 5362 are 1, 2, 7, 14, 383, 766, 2681, 5362
The HCF of 7671,5362 is 1.
Lets's calculate GCF of 7671,5362
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7671,5362 By Matching Biggest Common Factor Method
Now, list down the factors of 7671
:1,3,2557,7671
Now, list down the factors of 5362
:1,2,7,14,383,766,2681,5362
Greatest Common Factor
We found the factors 7671,5362 . The biggest common factor number is the GCF number.
So the greatest common factor 7671,5362 is 1.
Lets's calculate LCM of 861,2937
| 3 | 861, 2937 |
| 287, 979 |
∴ So the LCM of the given numbers is 3 x 287 x 979 = 842919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/842919
Therefore, the GCF of Fractions 7671/861,5362/2937 is 1/842919
Least Common Multiple of 861,2937 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 861,2937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,2937) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,2937) x common factors =3 x 1 = 3
LCM(861,2937) = ( 861 × 2937 ) / 3
LCM(861,2937) = 2528757 / 3
LCM(861,2937) = 842919
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FAQs on GCF of Fractions of 7671/861, 5362/2937
1. What is the HCF of 7671,5362?
The HCF of 7671,5362 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 7671/861, 5362/2937?
Answer: GCF of Numerators as per given numbers 7671/861, 5362/2937 is
GCF of Numerators i.e. for 7671,5362 is 1
LCM of denominators i.e. for 861,2937 is 842919.
Thus, GCF of Fractions is 1/842919.Finally, GCF of Fractions for 7671/861, 5362/2937 is 1/842919.