Greatest Common Factor of 4131/317, 2883/6058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4131/317, 2883/6058

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 4131/317,2883/6058

Given fractions are 4131/317,2883/6058

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 4131,2883

Greatest Common Factor of Numerators i.e. GCF of 4131,2883 is 3 .

LCM of Denominators means LCM of 317,6058 as per the given fractions.

LCM of 317,6058 is 1920386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4131,2883

GCF of Fractions 4131/317,2883/6058 is 3/1920386

3 4131, 2883
1377, 961

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

Greatest Common Factor of 4131,2883 By Matching Biggest Common Factor Method

Greatest Common Factor of 4131,2883 By Matching Biggest Common Factor Method

Factors of 4131

List of positive integer factors of 4131 that divides 4131 without a remainder.

1,3,9,17,27,51,81,153,243,459,1377,4131

Factors of 2883

List of positive integer factors of 2883 that divides 2883 without a remainder.

1,3,31,93,961,2883

Greatest Common Factor

We found the factors 4131,2883 . The biggest common factor number is the GCF number.
So the greatest common factor 4131,2883 is 3.

Lets's calculate LCM of 317,6058

Given numbers has no common factors except 1. So, there LCM is their product i.e 1920386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1920386

Therefore, the GCF of Fractions 4131/317,2883/6058 is 3/1920386

Least Common Multiple of 317,6058 with GCF Formula

Least Common Multiple of 317,6058 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 317,6058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,6058) = 1

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

GCF(317,6058) x common factors =1 x 1 = 1

LCM(317,6058) = ( 317 × 6058 ) / 1

LCM(317,6058) = 1920386 / 1

LCM(317,6058) = 1920386


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 4131/317, 2883/6058

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 4131/317, 2883/6058?

Answer: GCF of Numerators as per given numbers 4131/317, 2883/6058 is

GCF of Numerators i.e. for 4131,2883 is 3

LCM of denominators i.e. for 317,6058 is 1920386.

Thus, GCF of Fractions is 3/1920386.Finally, GCF of Fractions for 4131/317, 2883/6058 is 3/1920386.