Greatest Common Factor of 6939/761, 2472/7987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6939/761, 2472/7987

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 6939/761,2472/7987

Given fractions are 6939/761,2472/7987

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 6939,2472

Greatest Common Factor of Numerators i.e. GCF of 6939,2472 is 3 .

LCM of Denominators means LCM of 761,7987 as per the given fractions.

LCM of 761,7987 is 6078107 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6939,2472

GCF of Fractions 6939/761,2472/7987 is 3/6078107

3 6939, 2472
2313, 824

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6939,2472 By Matching Biggest Common Factor Method

Greatest Common Factor of 6939,2472 By Matching Biggest Common Factor Method

Factors of 6939

List of positive integer factors of 6939 that divides 6939 without a remainder.

1,3,9,27,257,771,2313,6939

Factors of 2472

List of positive integer factors of 2472 that divides 2472 without a remainder.

1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472

Greatest Common Factor

We found the factors 6939,2472 . The biggest common factor number is the GCF number.
So the greatest common factor 6939,2472 is 3.

Lets's calculate LCM of 761,7987

Given numbers has no common factors except 1. So, there LCM is their product i.e 6078107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6078107

Therefore, the GCF of Fractions 6939/761,2472/7987 is 3/6078107

Least Common Multiple of 761,7987 with GCF Formula

Least Common Multiple of 761,7987 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 761,7987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,7987) = 1

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

GCF(761,7987) x common factors =1 x 1 = 1

LCM(761,7987) = ( 761 × 7987 ) / 1

LCM(761,7987) = 6078107 / 1

LCM(761,7987) = 6078107


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 6939/761, 2472/7987

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 6939/761, 2472/7987?

Answer: GCF of Numerators as per given numbers 6939/761, 2472/7987 is

GCF of Numerators i.e. for 6939,2472 is 3

LCM of denominators i.e. for 761,7987 is 6078107.

Thus, GCF of Fractions is 3/6078107.Finally, GCF of Fractions for 6939/761, 2472/7987 is 3/6078107.