Greatest Common Factor of 2343/119, 5379/3916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2343/119, 5379/3916

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 2343/119,5379/3916

Given fractions are 2343/119,5379/3916

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 2343,5379

Greatest Common Factor of Numerators i.e. GCF of 2343,5379 is 33 .

LCM of Denominators means LCM of 119,3916 as per the given fractions.

LCM of 119,3916 is 466004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2343,5379

GCF of Fractions 2343/119,5379/3916 is 33/466004

3 2343, 5379
11 781, 1793
71, 163

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 2343,5379 By Matching Biggest Common Factor Method

Greatest Common Factor of 2343,5379 By Matching Biggest Common Factor Method

Factors of 2343

List of positive integer factors of 2343 that divides 2343 without a remainder.

1,3,11,33,71,213,781,2343

Factors of 5379

List of positive integer factors of 5379 that divides 5379 without a remainder.

1,3,11,33,163,489,1793,5379

Greatest Common Factor

We found the factors 2343,5379 . The biggest common factor number is the GCF number.
So the greatest common factor 2343,5379 is 33.

Lets's calculate LCM of 119,3916

Given numbers has no common factors except 1. So, there LCM is their product i.e 466004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/466004

Therefore, the GCF of Fractions 2343/119,5379/3916 is 33/466004

Least Common Multiple of 119,3916 with GCF Formula

Least Common Multiple of 119,3916 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 119,3916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,3916) = 1

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

GCF(119,3916) x common factors =1 x 1 = 1

LCM(119,3916) = ( 119 × 3916 ) / 1

LCM(119,3916) = 466004 / 1

LCM(119,3916) = 466004


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 2343/119, 5379/3916

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 2343/119, 5379/3916?

Answer: GCF of Numerators as per given numbers 2343/119, 5379/3916 is

GCF of Numerators i.e. for 2343,5379 is 33

LCM of denominators i.e. for 119,3916 is 466004.

Thus, GCF of Fractions is 33/466004.Finally, GCF of Fractions for 2343/119, 5379/3916 is 33/466004.