Greatest Common Factor of 5723/131, 9377/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5723/131, 9377/775

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 5723/131,9377/775

Given fractions are 5723/131,9377/775

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 5723,9377

Greatest Common Factor of Numerators i.e. GCF of 5723,9377 is 1 .

LCM of Denominators means LCM of 131,775 as per the given fractions.

LCM of 131,775 is 101525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5723,9377

GCF of Fractions 5723/131,9377/775 is 1/101525

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

Greatest Common Factor of 5723,9377 By Matching Biggest Common Factor Method

Greatest Common Factor of 5723,9377 By Matching Biggest Common Factor Method

Factors of 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1,59,97,5723

Factors of 9377

List of positive integer factors of 9377 that divides 9377 without a remainder.

1,9377

Greatest Common Factor

We found the factors 5723,9377 . The biggest common factor number is the GCF number.
So the greatest common factor 5723,9377 is 1.

Lets's calculate LCM of 131,775

Given numbers has no common factors except 1. So, there LCM is their product i.e 101525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101525

Therefore, the GCF of Fractions 5723/131,9377/775 is 1/101525

Least Common Multiple of 131,775 with GCF Formula

Least Common Multiple of 131,775 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 131,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,775) = 1

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

GCF(131,775) x common factors =1 x 1 = 1

LCM(131,775) = ( 131 × 775 ) / 1

LCM(131,775) = 101525 / 1

LCM(131,775) = 101525


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 5723/131, 9377/775

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 5723/131, 9377/775?

Answer: GCF of Numerators as per given numbers 5723/131, 9377/775 is

GCF of Numerators i.e. for 5723,9377 is 1

LCM of denominators i.e. for 131,775 is 101525.

Thus, GCF of Fractions is 1/101525.Finally, GCF of Fractions for 5723/131, 9377/775 is 1/101525.