Greatest Common Factor of 2740/313, 5343/4173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2740/313, 5343/4173

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 2740/313,5343/4173

Given fractions are 2740/313,5343/4173

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 2740,5343

Greatest Common Factor of Numerators i.e. GCF of 2740,5343 is 137 .

LCM of Denominators means LCM of 313,4173 as per the given fractions.

LCM of 313,4173 is 1306149 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2740,5343

GCF of Fractions 2740/313,5343/4173 is 137/1306149

137 2740, 5343
20, 39

∴ So the GCF of the given numbers is 137 = 137

Greatest Common Factor of 2740,5343 By Matching Biggest Common Factor Method

Greatest Common Factor of 2740,5343 By Matching Biggest Common Factor Method

Factors of 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1,2,4,5,10,20,137,274,548,685,1370,2740

Factors of 5343

List of positive integer factors of 5343 that divides 5343 without a remainder.

1,3,13,39,137,411,1781,5343

Greatest Common Factor

We found the factors 2740,5343 . The biggest common factor number is the GCF number.
So the greatest common factor 2740,5343 is 137.

Lets's calculate LCM of 313,4173

Given numbers has no common factors except 1. So, there LCM is their product i.e 1306149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 137/1306149

Therefore, the GCF of Fractions 2740/313,5343/4173 is 137/1306149

Least Common Multiple of 313,4173 with GCF Formula

Least Common Multiple of 313,4173 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 313,4173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,4173) = 1

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

GCF(313,4173) x common factors =1 x 1 = 1

LCM(313,4173) = ( 313 × 4173 ) / 1

LCM(313,4173) = 1306149 / 1

LCM(313,4173) = 1306149


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 2740/313, 5343/4173

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 2740/313, 5343/4173?

Answer: GCF of Numerators as per given numbers 2740/313, 5343/4173 is

GCF of Numerators i.e. for 2740,5343 is 137

LCM of denominators i.e. for 313,4173 is 1306149.

Thus, GCF of Fractions is 137/1306149.Finally, GCF of Fractions for 2740/313, 5343/4173 is 137/1306149.