Greatest Common Factor of 8538/20, 7980/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8538/20, 7980/976

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 8538/20,7980/976

Given fractions are 8538/20,7980/976

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 8538,7980

Greatest Common Factor of Numerators i.e. GCF of 8538,7980 is 6 .

LCM of Denominators means LCM of 20,976 as per the given fractions.

LCM of 20,976 is 4880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8538,7980

GCF of Fractions 8538/20,7980/976 is 6/4880

2 8538, 7980
3 4269, 3990
1423, 1330

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8538,7980 By Matching Biggest Common Factor Method

Greatest Common Factor of 8538,7980 By Matching Biggest Common Factor Method

Factors of 8538

List of positive integer factors of 8538 that divides 8538 without a remainder.

1,2,3,6,1423,2846,4269,8538

Factors of 7980

List of positive integer factors of 7980 that divides 7980 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980

Greatest Common Factor

We found the factors 8538,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 8538,7980 is 6.

Lets's calculate LCM of 20,976

2 20, 976
2 10, 488
5, 244

∴ So the LCM of the given numbers is 2 x 2 x 5 x 244 = 4880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4880

Therefore, the GCF of Fractions 8538/20,7980/976 is 6/4880

Least Common Multiple of 20,976 with GCF Formula

Least Common Multiple of 20,976 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 20,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,976) = 4

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

GCF(20,976) x common factors =4 x 1 = 4

LCM(20,976) = ( 20 × 976 ) / 4

LCM(20,976) = 19520 / 4

LCM(20,976) = 4880


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 8538/20, 7980/976

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 8538/20, 7980/976?

Answer: GCF of Numerators as per given numbers 8538/20, 7980/976 is

GCF of Numerators i.e. for 8538,7980 is 6

LCM of denominators i.e. for 20,976 is 4880.

Thus, GCF of Fractions is 6/4880.Finally, GCF of Fractions for 8538/20, 7980/976 is 6/4880.