Greatest Common Factor of 6979/279, 9865/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6979/279, 9865/341

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 6979/279,9865/341

Given fractions are 6979/279,9865/341

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 6979,9865

Greatest Common Factor of Numerators i.e. GCF of 6979,9865 is 1 .

LCM of Denominators means LCM of 279,341 as per the given fractions.

LCM of 279,341 is 3069 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6979,9865

GCF of Fractions 6979/279,9865/341 is 1/3069

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

Greatest Common Factor of 6979,9865 By Matching Biggest Common Factor Method

Greatest Common Factor of 6979,9865 By Matching Biggest Common Factor Method

Factors of 6979

List of positive integer factors of 6979 that divides 6979 without a remainder.

1,7,997,6979

Factors of 9865

List of positive integer factors of 9865 that divides 9865 without a remainder.

1,5,1973,9865

Greatest Common Factor

We found the factors 6979,9865 . The biggest common factor number is the GCF number.
So the greatest common factor 6979,9865 is 1.

Lets's calculate LCM of 279,341

31 279, 341
9, 11

∴ So the LCM of the given numbers is 31 x 9 x 11 = 3069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3069

Therefore, the GCF of Fractions 6979/279,9865/341 is 1/3069

Least Common Multiple of 279,341 with GCF Formula

Least Common Multiple of 279,341 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 279,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,341) = 31

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

GCF(279,341) x common factors =31 x 1 = 31

LCM(279,341) = ( 279 × 341 ) / 31

LCM(279,341) = 95139 / 31

LCM(279,341) = 3069


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 6979/279, 9865/341

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 6979/279, 9865/341?

Answer: GCF of Numerators as per given numbers 6979/279, 9865/341 is

GCF of Numerators i.e. for 6979,9865 is 1

LCM of denominators i.e. for 279,341 is 3069.

Thus, GCF of Fractions is 1/3069.Finally, GCF of Fractions for 6979/279, 9865/341 is 1/3069.