Greatest Common Factor of 5718/419, 2529/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5718/419, 2529/373

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 5718/419,2529/373

Given fractions are 5718/419,2529/373

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 5718,2529

Greatest Common Factor of Numerators i.e. GCF of 5718,2529 is 3 .

LCM of Denominators means LCM of 419,373 as per the given fractions.

LCM of 419,373 is 156287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5718,2529

GCF of Fractions 5718/419,2529/373 is 3/156287

3 5718, 2529
1906, 843

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

Greatest Common Factor of 5718,2529 By Matching Biggest Common Factor Method

Greatest Common Factor of 5718,2529 By Matching Biggest Common Factor Method

Factors of 5718

List of positive integer factors of 5718 that divides 5718 without a remainder.

1,2,3,6,953,1906,2859,5718

Factors of 2529

List of positive integer factors of 2529 that divides 2529 without a remainder.

1,3,9,281,843,2529

Greatest Common Factor

We found the factors 5718,2529 . The biggest common factor number is the GCF number.
So the greatest common factor 5718,2529 is 3.

Lets's calculate LCM of 419,373

Given numbers has no common factors except 1. So, there LCM is their product i.e 156287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/156287

Therefore, the GCF of Fractions 5718/419,2529/373 is 3/156287

Least Common Multiple of 419,373 with GCF Formula

Least Common Multiple of 419,373 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 419,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,373) = 1

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

GCF(419,373) x common factors =1 x 1 = 1

LCM(419,373) = ( 419 × 373 ) / 1

LCM(419,373) = 156287 / 1

LCM(419,373) = 156287


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 5718/419, 2529/373

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 5718/419, 2529/373?

Answer: GCF of Numerators as per given numbers 5718/419, 2529/373 is

GCF of Numerators i.e. for 5718,2529 is 3

LCM of denominators i.e. for 419,373 is 156287.

Thus, GCF of Fractions is 3/156287.Finally, GCF of Fractions for 5718/419, 2529/373 is 3/156287.