Greatest Common Factor of 8976/517, 5071/4969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8976/517, 5071/4969

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 8976/517,5071/4969

Given fractions are 8976/517,5071/4969

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 8976,5071

Greatest Common Factor of Numerators i.e. GCF of 8976,5071 is 11 .

LCM of Denominators means LCM of 517,4969 as per the given fractions.

LCM of 517,4969 is 2568973 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8976,5071

GCF of Fractions 8976/517,5071/4969 is 11/2568973

11 8976, 5071
816, 461

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8976,5071 By Matching Biggest Common Factor Method

Greatest Common Factor of 8976,5071 By Matching Biggest Common Factor Method

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976

Factors of 5071

List of positive integer factors of 5071 that divides 5071 without a remainder.

1,11,461,5071

Greatest Common Factor

We found the factors 8976,5071 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,5071 is 11.

Lets's calculate LCM of 517,4969

Given numbers has no common factors except 1. So, there LCM is their product i.e 2568973

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2568973

Therefore, the GCF of Fractions 8976/517,5071/4969 is 11/2568973

Least Common Multiple of 517,4969 with GCF Formula

Least Common Multiple of 517,4969 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 517,4969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,4969) = 1

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

GCF(517,4969) x common factors =1 x 1 = 1

LCM(517,4969) = ( 517 × 4969 ) / 1

LCM(517,4969) = 2568973 / 1

LCM(517,4969) = 2568973


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8976/517, 5071/4969

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 8976/517, 5071/4969?

Answer: GCF of Numerators as per given numbers 8976/517, 5071/4969 is

GCF of Numerators i.e. for 8976,5071 is 11

LCM of denominators i.e. for 517,4969 is 2568973.

Thus, GCF of Fractions is 11/2568973.Finally, GCF of Fractions for 8976/517, 5071/4969 is 11/2568973.