Greatest Common Factor of 6972/289, 2139/7454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6972/289, 2139/7454

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 6972/289,2139/7454

Given fractions are 6972/289,2139/7454

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 6972,2139

Greatest Common Factor of Numerators i.e. GCF of 6972,2139 is 3 .

LCM of Denominators means LCM of 289,7454 as per the given fractions.

LCM of 289,7454 is 2154206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6972,2139

GCF of Fractions 6972/289,2139/7454 is 3/2154206

3 6972, 2139
2324, 713

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

Greatest Common Factor of 6972,2139 By Matching Biggest Common Factor Method

Greatest Common Factor of 6972,2139 By Matching Biggest Common Factor Method

Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Factors of 2139

List of positive integer factors of 2139 that divides 2139 without a remainder.

1,3,23,31,69,93,713,2139

Greatest Common Factor

We found the factors 6972,2139 . The biggest common factor number is the GCF number.
So the greatest common factor 6972,2139 is 3.

Lets's calculate LCM of 289,7454

Given numbers has no common factors except 1. So, there LCM is their product i.e 2154206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2154206

Therefore, the GCF of Fractions 6972/289,2139/7454 is 3/2154206

Least Common Multiple of 289,7454 with GCF Formula

Least Common Multiple of 289,7454 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 289,7454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,7454) = 1

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

GCF(289,7454) x common factors =1 x 1 = 1

LCM(289,7454) = ( 289 × 7454 ) / 1

LCM(289,7454) = 2154206 / 1

LCM(289,7454) = 2154206


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 6972/289, 2139/7454

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 6972/289, 2139/7454?

Answer: GCF of Numerators as per given numbers 6972/289, 2139/7454 is

GCF of Numerators i.e. for 6972,2139 is 3

LCM of denominators i.e. for 289,7454 is 2154206.

Thus, GCF of Fractions is 3/2154206.Finally, GCF of Fractions for 6972/289, 2139/7454 is 3/2154206.