Greatest Common Factor of 5731/82, 2109/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5731/82, 2109/296

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 5731/82,2109/296

Given fractions are 5731/82,2109/296

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 5731,2109

Greatest Common Factor of Numerators i.e. GCF of 5731,2109 is 1 .

LCM of Denominators means LCM of 82,296 as per the given fractions.

LCM of 82,296 is 12136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5731,2109

GCF of Fractions 5731/82,2109/296 is 1/12136

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

Greatest Common Factor of 5731,2109 By Matching Biggest Common Factor Method

Greatest Common Factor of 5731,2109 By Matching Biggest Common Factor Method

Factors of 5731

List of positive integer factors of 5731 that divides 5731 without a remainder.

1,11,521,5731

Factors of 2109

List of positive integer factors of 2109 that divides 2109 without a remainder.

1,3,19,37,57,111,703,2109

Greatest Common Factor

We found the factors 5731,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 5731,2109 is 1.

Lets's calculate LCM of 82,296

2 82, 296
41, 148

∴ So the LCM of the given numbers is 2 x 41 x 148 = 12136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12136

Therefore, the GCF of Fractions 5731/82,2109/296 is 1/12136

Least Common Multiple of 82,296 with GCF Formula

Least Common Multiple of 82,296 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 82,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,296) = 2

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

GCF(82,296) x common factors =2 x 1 = 2

LCM(82,296) = ( 82 × 296 ) / 2

LCM(82,296) = 24272 / 2

LCM(82,296) = 12136


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 5731/82, 2109/296

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 5731/82, 2109/296?

Answer: GCF of Numerators as per given numbers 5731/82, 2109/296 is

GCF of Numerators i.e. for 5731,2109 is 1

LCM of denominators i.e. for 82,296 is 12136.

Thus, GCF of Fractions is 1/12136.Finally, GCF of Fractions for 5731/82, 2109/296 is 1/12136.