Greatest Common Factor of 5271/91, 6062/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5271/91, 6062/860

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 5271/91,6062/860

Given fractions are 5271/91,6062/860

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 5271,6062

Greatest Common Factor of Numerators i.e. GCF of 5271,6062 is 7 .

LCM of Denominators means LCM of 91,860 as per the given fractions.

LCM of 91,860 is 78260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5271,6062

GCF of Fractions 5271/91,6062/860 is 7/78260

7 5271, 6062
753, 866

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5271,6062 By Matching Biggest Common Factor Method

Greatest Common Factor of 5271,6062 By Matching Biggest Common Factor Method

Factors of 5271

List of positive integer factors of 5271 that divides 5271 without a remainder.

1,3,7,21,251,753,1757,5271

Factors of 6062

List of positive integer factors of 6062 that divides 6062 without a remainder.

1,2,7,14,433,866,3031,6062

Greatest Common Factor

We found the factors 5271,6062 . The biggest common factor number is the GCF number.
So the greatest common factor 5271,6062 is 7.

Lets's calculate LCM of 91,860

Given numbers has no common factors except 1. So, there LCM is their product i.e 78260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/78260

Therefore, the GCF of Fractions 5271/91,6062/860 is 7/78260

Least Common Multiple of 91,860 with GCF Formula

Least Common Multiple of 91,860 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 91,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,860) = 1

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

GCF(91,860) x common factors =1 x 1 = 1

LCM(91,860) = ( 91 × 860 ) / 1

LCM(91,860) = 78260 / 1

LCM(91,860) = 78260


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 5271/91, 6062/860

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 5271/91, 6062/860?

Answer: GCF of Numerators as per given numbers 5271/91, 6062/860 is

GCF of Numerators i.e. for 5271,6062 is 7

LCM of denominators i.e. for 91,860 is 78260.

Thus, GCF of Fractions is 7/78260.Finally, GCF of Fractions for 5271/91, 6062/860 is 7/78260.