Greatest Common Factor of 6627/12, 3087/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6627/12, 3087/841

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 6627/12,3087/841

Given fractions are 6627/12,3087/841

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 6627,3087

Greatest Common Factor of Numerators i.e. GCF of 6627,3087 is 3 .

LCM of Denominators means LCM of 12,841 as per the given fractions.

LCM of 12,841 is 10092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6627,3087

GCF of Fractions 6627/12,3087/841 is 3/10092

3 6627, 3087
2209, 1029

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

Greatest Common Factor of 6627,3087 By Matching Biggest Common Factor Method

Greatest Common Factor of 6627,3087 By Matching Biggest Common Factor Method

Factors of 6627

List of positive integer factors of 6627 that divides 6627 without a remainder.

1,3,47,141,2209,6627

Factors of 3087

List of positive integer factors of 3087 that divides 3087 without a remainder.

1,3,7,9,21,49,63,147,343,441,1029,3087

Greatest Common Factor

We found the factors 6627,3087 . The biggest common factor number is the GCF number.
So the greatest common factor 6627,3087 is 3.

Lets's calculate LCM of 12,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 10092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10092

Therefore, the GCF of Fractions 6627/12,3087/841 is 3/10092

Least Common Multiple of 12,841 with GCF Formula

Least Common Multiple of 12,841 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 12,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,841) = 1

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

GCF(12,841) x common factors =1 x 1 = 1

LCM(12,841) = ( 12 × 841 ) / 1

LCM(12,841) = 10092 / 1

LCM(12,841) = 10092


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 6627/12, 3087/841

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 6627/12, 3087/841?

Answer: GCF of Numerators as per given numbers 6627/12, 3087/841 is

GCF of Numerators i.e. for 6627,3087 is 3

LCM of denominators i.e. for 12,841 is 10092.

Thus, GCF of Fractions is 3/10092.Finally, GCF of Fractions for 6627/12, 3087/841 is 3/10092.