Greatest Common Factor of 6884/891, 5137/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6884/891, 5137/579

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6884/891,5137/579

Given fractions are 6884/891,5137/579

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6884,5137

Greatest Common Factor of Numerators i.e. GCF of 6884,5137 is 1 .

LCM of Denominators means LCM of 891,579 as per the given fractions.

LCM of 891,579 is 171963 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6884,5137

GCF of Fractions 6884/891,5137/579 is 1/171963

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6884,5137 By Matching Biggest Common Factor Method

Greatest Common Factor of 6884,5137 By Matching Biggest Common Factor Method

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1,2,4,1721,3442,6884

Factors of 5137

List of positive integer factors of 5137 that divides 5137 without a remainder.

1,11,467,5137

Greatest Common Factor

We found the factors 6884,5137 . The biggest common factor number is the GCF number.
So the greatest common factor 6884,5137 is 1.


Lets's calculate LCM of 891,579

3 891, 579
297, 193

∴ So the LCM of the given numbers is 3 x 297 x 193 = 171963

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171963

Therefore, the GCF of Fractions 6884/891,5137/579 is 1/171963

Least Common Multiple of 891,579 with GCF Formula

Least Common Multiple of 891,579 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 891,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,579) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(891,579) x common factors =3 x 1 = 3

LCM(891,579) = ( 891 × 579 ) / 3

LCM(891,579) = 515889 / 3

LCM(891,579) = 171963


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6884/891, 5137/579

1. 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.

2. What is the GCF of Fractions for 6884/891, 5137/579?

Answer: GCF of Numerators as per given numbers 6884/891, 5137/579 is

GCF of Numerators i.e. for 6884,5137 is 1

LCM of denominators i.e. for 891,579 is 171963.

Thus, GCF of Fractions is 1/171963.Finally, GCF of Fractions for 6884/891, 5137/579 is 1/171963.