Greatest Common Factor of 6479/571, 6171/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6479/571, 6171/460

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 6479/571,6171/460

Given fractions are 6479/571,6171/460

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 6479,6171

Greatest Common Factor of Numerators i.e. GCF of 6479,6171 is 11 .

LCM of Denominators means LCM of 571,460 as per the given fractions.

LCM of 571,460 is 262660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6479,6171

GCF of Fractions 6479/571,6171/460 is 11/262660

11 6479, 6171
589, 561

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

Greatest Common Factor of 6479,6171 By Matching Biggest Common Factor Method

Greatest Common Factor of 6479,6171 By Matching Biggest Common Factor Method

Factors of 6479

List of positive integer factors of 6479 that divides 6479 without a remainder.

1,11,19,31,209,341,589,6479

Factors of 6171

List of positive integer factors of 6171 that divides 6171 without a remainder.

1,3,11,17,33,51,121,187,363,561,2057,6171

Greatest Common Factor

We found the factors 6479,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 6479,6171 is 11.

Lets's calculate LCM of 571,460

Given numbers has no common factors except 1. So, there LCM is their product i.e 262660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/262660

Therefore, the GCF of Fractions 6479/571,6171/460 is 11/262660

Least Common Multiple of 571,460 with GCF Formula

Least Common Multiple of 571,460 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 571,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,460) = 1

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

GCF(571,460) x common factors =1 x 1 = 1

LCM(571,460) = ( 571 × 460 ) / 1

LCM(571,460) = 262660 / 1

LCM(571,460) = 262660


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 6479/571, 6171/460

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 6479/571, 6171/460?

Answer: GCF of Numerators as per given numbers 6479/571, 6171/460 is

GCF of Numerators i.e. for 6479,6171 is 11

LCM of denominators i.e. for 571,460 is 262660.

Thus, GCF of Fractions is 11/262660.Finally, GCF of Fractions for 6479/571, 6171/460 is 11/262660.