Greatest Common Factor of 5981/978, 3476/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5981/978, 3476/339

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 5981/978,3476/339

Given fractions are 5981/978,3476/339

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 5981,3476

Greatest Common Factor of Numerators i.e. GCF of 5981,3476 is 1 .

LCM of Denominators means LCM of 978,339 as per the given fractions.

LCM of 978,339 is 110514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5981,3476

GCF of Fractions 5981/978,3476/339 is 1/110514

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

Greatest Common Factor of 5981,3476 By Matching Biggest Common Factor Method

Greatest Common Factor of 5981,3476 By Matching Biggest Common Factor Method

Factors of 5981

List of positive integer factors of 5981 that divides 5981 without a remainder.

1,5981

Factors of 3476

List of positive integer factors of 3476 that divides 3476 without a remainder.

1,2,4,11,22,44,79,158,316,869,1738,3476

Greatest Common Factor

We found the factors 5981,3476 . The biggest common factor number is the GCF number.
So the greatest common factor 5981,3476 is 1.

Lets's calculate LCM of 978,339

3 978, 339
326, 113

∴ So the LCM of the given numbers is 3 x 326 x 113 = 110514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110514

Therefore, the GCF of Fractions 5981/978,3476/339 is 1/110514

Least Common Multiple of 978,339 with GCF Formula

Least Common Multiple of 978,339 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 978,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,339) = 3

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

GCF(978,339) x common factors =3 x 1 = 3

LCM(978,339) = ( 978 × 339 ) / 3

LCM(978,339) = 331542 / 3

LCM(978,339) = 110514


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 5981/978, 3476/339

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 5981/978, 3476/339?

Answer: GCF of Numerators as per given numbers 5981/978, 3476/339 is

GCF of Numerators i.e. for 5981,3476 is 1

LCM of denominators i.e. for 978,339 is 110514.

Thus, GCF of Fractions is 1/110514.Finally, GCF of Fractions for 5981/978, 3476/339 is 1/110514.