Greatest Common Factor of 5731/75, 7013/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5731/75, 7013/819

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 5731/75,7013/819

Given fractions are 5731/75,7013/819

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 5731,7013

Greatest Common Factor of Numerators i.e. GCF of 5731,7013 is 1 .

LCM of Denominators means LCM of 75,819 as per the given fractions.

LCM of 75,819 is 20475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5731,7013

GCF of Fractions 5731/75,7013/819 is 1/20475

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

Greatest Common Factor of 5731,7013 By Matching Biggest Common Factor Method

Greatest Common Factor of 5731,7013 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 7013

List of positive integer factors of 7013 that divides 7013 without a remainder.

1,7013

Greatest Common Factor

We found the factors 5731,7013 . The biggest common factor number is the GCF number.
So the greatest common factor 5731,7013 is 1.

Lets's calculate LCM of 75,819

3 75, 819
25, 273

∴ So the LCM of the given numbers is 3 x 25 x 273 = 20475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20475

Therefore, the GCF of Fractions 5731/75,7013/819 is 1/20475

Least Common Multiple of 75,819 with GCF Formula

Least Common Multiple of 75,819 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 75,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,819) = 3

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

GCF(75,819) x common factors =3 x 1 = 3

LCM(75,819) = ( 75 × 819 ) / 3

LCM(75,819) = 61425 / 3

LCM(75,819) = 20475


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 5731/75, 7013/819

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 5731/75, 7013/819?

Answer: GCF of Numerators as per given numbers 5731/75, 7013/819 is

GCF of Numerators i.e. for 5731,7013 is 1

LCM of denominators i.e. for 75,819 is 20475.

Thus, GCF of Fractions is 1/20475.Finally, GCF of Fractions for 5731/75, 7013/819 is 1/20475.