Greatest Common Factor of 5134/82, 6542/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5134/82, 6542/334

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 5134/82,6542/334

Given fractions are 5134/82,6542/334

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 5134,6542

Greatest Common Factor of Numerators i.e. GCF of 5134,6542 is 2 .

LCM of Denominators means LCM of 82,334 as per the given fractions.

LCM of 82,334 is 13694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5134,6542

GCF of Fractions 5134/82,6542/334 is 2/13694

2 5134, 6542
2567, 3271

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

Greatest Common Factor of 5134,6542 By Matching Biggest Common Factor Method

Greatest Common Factor of 5134,6542 By Matching Biggest Common Factor Method

Factors of 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1,2,17,34,151,302,2567,5134

Factors of 6542

List of positive integer factors of 6542 that divides 6542 without a remainder.

1,2,3271,6542

Greatest Common Factor

We found the factors 5134,6542 . The biggest common factor number is the GCF number.
So the greatest common factor 5134,6542 is 2.

Lets's calculate LCM of 82,334

2 82, 334
41, 167

∴ So the LCM of the given numbers is 2 x 41 x 167 = 13694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13694

Therefore, the GCF of Fractions 5134/82,6542/334 is 2/13694

Least Common Multiple of 82,334 with GCF Formula

Least Common Multiple of 82,334 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 82,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,334) = 2

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

GCF(82,334) x common factors =2 x 1 = 2

LCM(82,334) = ( 82 × 334 ) / 2

LCM(82,334) = 27388 / 2

LCM(82,334) = 13694


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 5134/82, 6542/334

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 5134/82, 6542/334?

Answer: GCF of Numerators as per given numbers 5134/82, 6542/334 is

GCF of Numerators i.e. for 5134,6542 is 2

LCM of denominators i.e. for 82,334 is 13694.

Thus, GCF of Fractions is 2/13694.Finally, GCF of Fractions for 5134/82, 6542/334 is 2/13694.