Greatest Common Factor of 62/979, 7844/6149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/979, 7844/6149

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 62/979,7844/6149

Given fractions are 62/979,7844/6149

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 62,7844

Greatest Common Factor of Numerators i.e. GCF of 62,7844 is 2 .

LCM of Denominators means LCM of 979,6149 as per the given fractions.

LCM of 979,6149 is 547261 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,7844

GCF of Fractions 62/979,7844/6149 is 2/547261

2 62, 7844
31, 3922

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 62,7844 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,7844 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 7844

List of positive integer factors of 7844 that divides 7844 without a remainder.

1,2,4,37,53,74,106,148,212,1961,3922,7844

Greatest Common Factor

We found the factors 62,7844 . The biggest common factor number is the GCF number.
So the greatest common factor 62,7844 is 2.

Lets's calculate LCM of 979,6149

11 979, 6149
89, 559

∴ So the LCM of the given numbers is 11 x 89 x 559 = 547261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/547261

Therefore, the GCF of Fractions 62/979,7844/6149 is 2/547261

Least Common Multiple of 979,6149 with GCF Formula

Least Common Multiple of 979,6149 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 979,6149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,6149) = 11

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

GCF(979,6149) x common factors =11 x 1 = 11

LCM(979,6149) = ( 979 × 6149 ) / 11

LCM(979,6149) = 6019871 / 11

LCM(979,6149) = 547261


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 62/979, 7844/6149

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 62/979, 7844/6149?

Answer: GCF of Numerators as per given numbers 62/979, 7844/6149 is

GCF of Numerators i.e. for 62,7844 is 2

LCM of denominators i.e. for 979,6149 is 547261.

Thus, GCF of Fractions is 2/547261.Finally, GCF of Fractions for 62/979, 7844/6149 is 2/547261.