Greatest Common Factor of 5357/782, 7271/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5357/782, 7271/637

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 5357/782,7271/637

Given fractions are 5357/782,7271/637

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 5357,7271

Greatest Common Factor of Numerators i.e. GCF of 5357,7271 is 11 .

LCM of Denominators means LCM of 782,637 as per the given fractions.

LCM of 782,637 is 498134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5357,7271

GCF of Fractions 5357/782,7271/637 is 11/498134

11 5357, 7271
487, 661

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5357,7271 By Matching Biggest Common Factor Method

Greatest Common Factor of 5357,7271 By Matching Biggest Common Factor Method

Factors of 5357

List of positive integer factors of 5357 that divides 5357 without a remainder.

1,11,487,5357

Factors of 7271

List of positive integer factors of 7271 that divides 7271 without a remainder.

1,11,661,7271

Greatest Common Factor

We found the factors 5357,7271 . The biggest common factor number is the GCF number.
So the greatest common factor 5357,7271 is 11.

Lets's calculate LCM of 782,637

Given numbers has no common factors except 1. So, there LCM is their product i.e 498134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/498134

Therefore, the GCF of Fractions 5357/782,7271/637 is 11/498134

Least Common Multiple of 782,637 with GCF Formula

Least Common Multiple of 782,637 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 782,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,637) = 1

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

GCF(782,637) x common factors =1 x 1 = 1

LCM(782,637) = ( 782 × 637 ) / 1

LCM(782,637) = 498134 / 1

LCM(782,637) = 498134


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 5357/782, 7271/637

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 5357/782, 7271/637?

Answer: GCF of Numerators as per given numbers 5357/782, 7271/637 is

GCF of Numerators i.e. for 5357,7271 is 11

LCM of denominators i.e. for 782,637 is 498134.

Thus, GCF of Fractions is 11/498134.Finally, GCF of Fractions for 5357/782, 7271/637 is 11/498134.