Greatest Common Factor of 5757/772, 6513/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5757/772, 6513/793

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 5757/772,6513/793

Given fractions are 5757/772,6513/793

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 5757,6513

Greatest Common Factor of Numerators i.e. GCF of 5757,6513 is 3 .

LCM of Denominators means LCM of 772,793 as per the given fractions.

LCM of 772,793 is 612196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5757,6513

GCF of Fractions 5757/772,6513/793 is 3/612196

3 5757, 6513
1919, 2171

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5757,6513 By Matching Biggest Common Factor Method

Greatest Common Factor of 5757,6513 By Matching Biggest Common Factor Method

Factors of 5757

List of positive integer factors of 5757 that divides 5757 without a remainder.

1,3,19,57,101,303,1919,5757

Factors of 6513

List of positive integer factors of 6513 that divides 6513 without a remainder.

1,3,13,39,167,501,2171,6513

Greatest Common Factor

We found the factors 5757,6513 . The biggest common factor number is the GCF number.
So the greatest common factor 5757,6513 is 3.

Lets's calculate LCM of 772,793

Given numbers has no common factors except 1. So, there LCM is their product i.e 612196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/612196

Therefore, the GCF of Fractions 5757/772,6513/793 is 3/612196

Least Common Multiple of 772,793 with GCF Formula

Least Common Multiple of 772,793 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 772,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,793) = 1

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

GCF(772,793) x common factors =1 x 1 = 1

LCM(772,793) = ( 772 × 793 ) / 1

LCM(772,793) = 612196 / 1

LCM(772,793) = 612196


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 5757/772, 6513/793

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 5757/772, 6513/793?

Answer: GCF of Numerators as per given numbers 5757/772, 6513/793 is

GCF of Numerators i.e. for 5757,6513 is 3

LCM of denominators i.e. for 772,793 is 612196.

Thus, GCF of Fractions is 3/612196.Finally, GCF of Fractions for 5757/772, 6513/793 is 3/612196.