Greatest Common Factor of 5313/231, 8099/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5313/231, 8099/579

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 5313/231,8099/579

Given fractions are 5313/231,8099/579

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 5313,8099

Greatest Common Factor of Numerators i.e. GCF of 5313,8099 is 7 .

LCM of Denominators means LCM of 231,579 as per the given fractions.

LCM of 231,579 is 44583 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5313,8099

GCF of Fractions 5313/231,8099/579 is 7/44583

7 5313, 8099
759, 1157

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

Greatest Common Factor of 5313,8099 By Matching Biggest Common Factor Method

Greatest Common Factor of 5313,8099 By Matching Biggest Common Factor Method

Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313

Factors of 8099

List of positive integer factors of 8099 that divides 8099 without a remainder.

1,7,13,89,91,623,1157,8099

Greatest Common Factor

We found the factors 5313,8099 . The biggest common factor number is the GCF number.
So the greatest common factor 5313,8099 is 7.

Lets's calculate LCM of 231,579

3 231, 579
77, 193

∴ So the LCM of the given numbers is 3 x 77 x 193 = 44583

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/44583

Therefore, the GCF of Fractions 5313/231,8099/579 is 7/44583

Least Common Multiple of 231,579 with GCF Formula

Least Common Multiple of 231,579 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 231,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,579) = 3

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

GCF(231,579) x common factors =3 x 1 = 3

LCM(231,579) = ( 231 × 579 ) / 3

LCM(231,579) = 133749 / 3

LCM(231,579) = 44583


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 5313/231, 8099/579

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 5313/231, 8099/579?

Answer: GCF of Numerators as per given numbers 5313/231, 8099/579 is

GCF of Numerators i.e. for 5313,8099 is 7

LCM of denominators i.e. for 231,579 is 44583.

Thus, GCF of Fractions is 7/44583.Finally, GCF of Fractions for 5313/231, 8099/579 is 7/44583.