Greatest Common Factor of 5034/22, 1980/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5034/22, 1980/979

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 5034/22,1980/979

Given fractions are 5034/22,1980/979

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 5034,1980

Greatest Common Factor of Numerators i.e. GCF of 5034,1980 is 6 .

LCM of Denominators means LCM of 22,979 as per the given fractions.

LCM of 22,979 is 1958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5034,1980

GCF of Fractions 5034/22,1980/979 is 6/1958

2 5034, 1980
3 2517, 990
839, 330

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

Greatest Common Factor of 5034,1980 By Matching Biggest Common Factor Method

Greatest Common Factor of 5034,1980 By Matching Biggest Common Factor Method

Factors of 5034

List of positive integer factors of 5034 that divides 5034 without a remainder.

1,2,3,6,839,1678,2517,5034

Factors of 1980

List of positive integer factors of 1980 that divides 1980 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980

Greatest Common Factor

We found the factors 5034,1980 . The biggest common factor number is the GCF number.
So the greatest common factor 5034,1980 is 6.

Lets's calculate LCM of 22,979

11 22, 979
2, 89

∴ So the LCM of the given numbers is 11 x 2 x 89 = 1958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1958

Therefore, the GCF of Fractions 5034/22,1980/979 is 6/1958

Least Common Multiple of 22,979 with GCF Formula

Least Common Multiple of 22,979 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 22,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,979) = 11

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

GCF(22,979) x common factors =11 x 1 = 11

LCM(22,979) = ( 22 × 979 ) / 11

LCM(22,979) = 21538 / 11

LCM(22,979) = 1958


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 5034/22, 1980/979

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 5034/22, 1980/979?

Answer: GCF of Numerators as per given numbers 5034/22, 1980/979 is

GCF of Numerators i.e. for 5034,1980 is 6

LCM of denominators i.e. for 22,979 is 1958.

Thus, GCF of Fractions is 6/1958.Finally, GCF of Fractions for 5034/22, 1980/979 is 6/1958.