Greatest Common Factor of 6087/31, 2742/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6087/31, 2742/474

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 6087/31,2742/474

Given fractions are 6087/31,2742/474

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 6087,2742

Greatest Common Factor of Numerators i.e. GCF of 6087,2742 is 3 .

LCM of Denominators means LCM of 31,474 as per the given fractions.

LCM of 31,474 is 14694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6087,2742

GCF of Fractions 6087/31,2742/474 is 3/14694

3 6087, 2742
2029, 914

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

Greatest Common Factor of 6087,2742 By Matching Biggest Common Factor Method

Greatest Common Factor of 6087,2742 By Matching Biggest Common Factor Method

Factors of 6087

List of positive integer factors of 6087 that divides 6087 without a remainder.

1,3,2029,6087

Factors of 2742

List of positive integer factors of 2742 that divides 2742 without a remainder.

1,2,3,6,457,914,1371,2742

Greatest Common Factor

We found the factors 6087,2742 . The biggest common factor number is the GCF number.
So the greatest common factor 6087,2742 is 3.

Lets's calculate LCM of 31,474

Given numbers has no common factors except 1. So, there LCM is their product i.e 14694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14694

Therefore, the GCF of Fractions 6087/31,2742/474 is 3/14694

Least Common Multiple of 31,474 with GCF Formula

Least Common Multiple of 31,474 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 31,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,474) = 1

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

GCF(31,474) x common factors =1 x 1 = 1

LCM(31,474) = ( 31 × 474 ) / 1

LCM(31,474) = 14694 / 1

LCM(31,474) = 14694


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 6087/31, 2742/474

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 6087/31, 2742/474?

Answer: GCF of Numerators as per given numbers 6087/31, 2742/474 is

GCF of Numerators i.e. for 6087,2742 is 3

LCM of denominators i.e. for 31,474 is 14694.

Thus, GCF of Fractions is 3/14694.Finally, GCF of Fractions for 6087/31, 2742/474 is 3/14694.