GCF of 6718/876, 6357/6872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6718/876, 6357/6872 i.e 1/1504968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6718/876, 6357/6872.
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 6718/876,6357/6872?
Given fractions are 6718/876,6357/6872
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 6718/876,6357/6872, numerators are 6718,6357
Denominators are 876,6872
The GCF of 6718,6357 is 1 .
LCM of 876,6872 is 1504968.
The greatest common factor of 6718/876,6357/6872 = [GCF of 6718,6357]/[LCM of 876,6872]= 1/1504968
Therefore, the GCF of 6718/876,6357/6872 is 1/1504968.
To find the highest common factor of 6718,6357, we have to find the factors of both numbers and list the highest common factor.
The factors of 6718 are 1, 2, 3359, 6718
The factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357
The HCF of 6718,6357 is 1.
Lets's calculate GCF of 6718,6357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6718,6357 By Matching Biggest Common Factor Method
Now, list down the factors of 6718
:1,2,3359,6718
Now, list down the factors of 6357
:1,3,13,39,163,489,2119,6357
Greatest Common Factor
We found the factors 6718,6357 . The biggest common factor number is the GCF number.
So the greatest common factor 6718,6357 is 1.
Lets's calculate LCM of 876,6872
| 2 | 876, 6872 |
| 2 | 438, 3436 |
| 219, 1718 |
∴ So the LCM of the given numbers is 2 x 2 x 219 x 1718 = 1504968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1504968
Therefore, the GCF of Fractions 6718/876,6357/6872 is 1/1504968
Least Common Multiple of 876,6872 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 876,6872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,6872) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(876,6872) x common factors =4 x 1 = 4
LCM(876,6872) = ( 876 × 6872 ) / 4
LCM(876,6872) = 6019872 / 4
LCM(876,6872) = 1504968
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FAQs on GCF of Fractions of 6718/876, 6357/6872
1. What is the HCF of 6718,6357?
The HCF of 6718,6357 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 6718/876, 6357/6872?
Answer: GCF of Numerators as per given numbers 6718/876, 6357/6872 is
GCF of Numerators i.e. for 6718,6357 is 1
LCM of denominators i.e. for 876,6872 is 1504968.
Thus, GCF of Fractions is 1/1504968.Finally, GCF of Fractions for 6718/876, 6357/6872 is 1/1504968.