Greatest Common Factor of 6171/672, 8628/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6171/672, 8628/347

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 6171/672,8628/347

Given fractions are 6171/672,8628/347

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 6171,8628

Greatest Common Factor of Numerators i.e. GCF of 6171,8628 is 3 .

LCM of Denominators means LCM of 672,347 as per the given fractions.

LCM of 672,347 is 233184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6171,8628

GCF of Fractions 6171/672,8628/347 is 3/233184

3 6171, 8628
2057, 2876

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

Greatest Common Factor of 6171,8628 By Matching Biggest Common Factor Method

Greatest Common Factor of 6171,8628 By Matching Biggest Common Factor Method

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

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1,2,3,4,6,12,719,1438,2157,2876,4314,8628

Greatest Common Factor

We found the factors 6171,8628 . The biggest common factor number is the GCF number.
So the greatest common factor 6171,8628 is 3.

Lets's calculate LCM of 672,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 233184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/233184

Therefore, the GCF of Fractions 6171/672,8628/347 is 3/233184

Least Common Multiple of 672,347 with GCF Formula

Least Common Multiple of 672,347 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 672,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,347) = 1

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

GCF(672,347) x common factors =1 x 1 = 1

LCM(672,347) = ( 672 × 347 ) / 1

LCM(672,347) = 233184 / 1

LCM(672,347) = 233184


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 6171/672, 8628/347

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 6171/672, 8628/347?

Answer: GCF of Numerators as per given numbers 6171/672, 8628/347 is

GCF of Numerators i.e. for 6171,8628 is 3

LCM of denominators i.e. for 672,347 is 233184.

Thus, GCF of Fractions is 3/233184.Finally, GCF of Fractions for 6171/672, 8628/347 is 3/233184.