Greatest Common Factor of 7310/876, 2489/7635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7310/876, 2489/7635

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 7310/876,2489/7635

Given fractions are 7310/876,2489/7635

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 7310,2489

Greatest Common Factor of Numerators i.e. GCF of 7310,2489 is 1 .

LCM of Denominators means LCM of 876,7635 as per the given fractions.

LCM of 876,7635 is 2229420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7310,2489

GCF of Fractions 7310/876,2489/7635 is 1/2229420

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7310,2489 By Matching Biggest Common Factor Method

Greatest Common Factor of 7310,2489 By Matching Biggest Common Factor Method

Factors of 7310

List of positive integer factors of 7310 that divides 7310 without a remainder.

1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310

Factors of 2489

List of positive integer factors of 2489 that divides 2489 without a remainder.

1,19,131,2489

Greatest Common Factor

We found the factors 7310,2489 . The biggest common factor number is the GCF number.
So the greatest common factor 7310,2489 is 1.

Lets's calculate LCM of 876,7635

3 876, 7635
292, 2545

∴ So the LCM of the given numbers is 3 x 292 x 2545 = 2229420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2229420

Therefore, the GCF of Fractions 7310/876,2489/7635 is 1/2229420

Least Common Multiple of 876,7635 with GCF Formula

Least Common Multiple of 876,7635 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 876,7635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,7635) = 3

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

GCF(876,7635) x common factors =3 x 1 = 3

LCM(876,7635) = ( 876 × 7635 ) / 3

LCM(876,7635) = 6688260 / 3

LCM(876,7635) = 2229420


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 7310/876, 2489/7635

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 7310/876, 2489/7635?

Answer: GCF of Numerators as per given numbers 7310/876, 2489/7635 is

GCF of Numerators i.e. for 7310,2489 is 1

LCM of denominators i.e. for 876,7635 is 2229420.

Thus, GCF of Fractions is 1/2229420.Finally, GCF of Fractions for 7310/876, 2489/7635 is 1/2229420.