Greatest Common Factor of 6331/291, 4593/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6331/291, 4593/423

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 6331/291,4593/423

Given fractions are 6331/291,4593/423

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 6331,4593

Greatest Common Factor of Numerators i.e. GCF of 6331,4593 is 1 .

LCM of Denominators means LCM of 291,423 as per the given fractions.

LCM of 291,423 is 41031 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6331,4593

GCF of Fractions 6331/291,4593/423 is 1/41031

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6331,4593 By Matching Biggest Common Factor Method

Greatest Common Factor of 6331,4593 By Matching Biggest Common Factor Method

Factors of 6331

List of positive integer factors of 6331 that divides 6331 without a remainder.

1,13,487,6331

Factors of 4593

List of positive integer factors of 4593 that divides 4593 without a remainder.

1,3,1531,4593

Greatest Common Factor

We found the factors 6331,4593 . The biggest common factor number is the GCF number.
So the greatest common factor 6331,4593 is 1.

Lets's calculate LCM of 291,423

3 291, 423
97, 141

∴ So the LCM of the given numbers is 3 x 97 x 141 = 41031

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41031

Therefore, the GCF of Fractions 6331/291,4593/423 is 1/41031

Least Common Multiple of 291,423 with GCF Formula

Least Common Multiple of 291,423 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 291,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,423) = 3

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

GCF(291,423) x common factors =3 x 1 = 3

LCM(291,423) = ( 291 × 423 ) / 3

LCM(291,423) = 123093 / 3

LCM(291,423) = 41031


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 6331/291, 4593/423

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 6331/291, 4593/423?

Answer: GCF of Numerators as per given numbers 6331/291, 4593/423 is

GCF of Numerators i.e. for 6331,4593 is 1

LCM of denominators i.e. for 291,423 is 41031.

Thus, GCF of Fractions is 1/41031.Finally, GCF of Fractions for 6331/291, 4593/423 is 1/41031.