Greatest Common Factor of 8979/787, 6740/2303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8979/787, 6740/2303

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 8979/787,6740/2303

Given fractions are 8979/787,6740/2303

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 8979,6740

Greatest Common Factor of Numerators i.e. GCF of 8979,6740 is 1 .

LCM of Denominators means LCM of 787,2303 as per the given fractions.

LCM of 787,2303 is 1812461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8979,6740

GCF of Fractions 8979/787,6740/2303 is 1/1812461

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

Greatest Common Factor of 8979,6740 By Matching Biggest Common Factor Method

Greatest Common Factor of 8979,6740 By Matching Biggest Common Factor Method

Factors of 8979

List of positive integer factors of 8979 that divides 8979 without a remainder.

1,3,41,73,123,219,2993,8979

Factors of 6740

List of positive integer factors of 6740 that divides 6740 without a remainder.

1,2,4,5,10,20,337,674,1348,1685,3370,6740

Greatest Common Factor

We found the factors 8979,6740 . The biggest common factor number is the GCF number.
So the greatest common factor 8979,6740 is 1.

Lets's calculate LCM of 787,2303

Given numbers has no common factors except 1. So, there LCM is their product i.e 1812461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1812461

Therefore, the GCF of Fractions 8979/787,6740/2303 is 1/1812461

Least Common Multiple of 787,2303 with GCF Formula

Least Common Multiple of 787,2303 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 787,2303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,2303) = 1

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

GCF(787,2303) x common factors =1 x 1 = 1

LCM(787,2303) = ( 787 × 2303 ) / 1

LCM(787,2303) = 1812461 / 1

LCM(787,2303) = 1812461


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 8979/787, 6740/2303

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 8979/787, 6740/2303?

Answer: GCF of Numerators as per given numbers 8979/787, 6740/2303 is

GCF of Numerators i.e. for 8979,6740 is 1

LCM of denominators i.e. for 787,2303 is 1812461.

Thus, GCF of Fractions is 1/1812461.Finally, GCF of Fractions for 8979/787, 6740/2303 is 1/1812461.