Greatest Common Factor of 268/979, 6922/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/979, 6922/462

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 268/979,6922/462

Given fractions are 268/979,6922/462

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 268,6922

Greatest Common Factor of Numerators i.e. GCF of 268,6922 is 2 .

LCM of Denominators means LCM of 979,462 as per the given fractions.

LCM of 979,462 is 41118 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,6922

GCF of Fractions 268/979,6922/462 is 2/41118

2 268, 6922
134, 3461

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

Greatest Common Factor of 268,6922 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,6922 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 6922

List of positive integer factors of 6922 that divides 6922 without a remainder.

1,2,3461,6922

Greatest Common Factor

We found the factors 268,6922 . The biggest common factor number is the GCF number.
So the greatest common factor 268,6922 is 2.

Lets's calculate LCM of 979,462

11 979, 462
89, 42

∴ So the LCM of the given numbers is 11 x 89 x 42 = 41118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41118

Therefore, the GCF of Fractions 268/979,6922/462 is 2/41118

Least Common Multiple of 979,462 with GCF Formula

Least Common Multiple of 979,462 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 979,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,462) = 11

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

GCF(979,462) x common factors =11 x 1 = 11

LCM(979,462) = ( 979 × 462 ) / 11

LCM(979,462) = 452298 / 11

LCM(979,462) = 41118


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 268/979, 6922/462

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 268/979, 6922/462?

Answer: GCF of Numerators as per given numbers 268/979, 6922/462 is

GCF of Numerators i.e. for 268,6922 is 2

LCM of denominators i.e. for 979,462 is 41118.

Thus, GCF of Fractions is 2/41118.Finally, GCF of Fractions for 268/979, 6922/462 is 2/41118.