Greatest Common Factor of 5337/384, 2970/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5337/384, 2970/517

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 5337/384,2970/517

Given fractions are 5337/384,2970/517

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 5337,2970

Greatest Common Factor of Numerators i.e. GCF of 5337,2970 is 9 .

LCM of Denominators means LCM of 384,517 as per the given fractions.

LCM of 384,517 is 198528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5337,2970

GCF of Fractions 5337/384,2970/517 is 9/198528

3 5337, 2970
3 1779, 990
593, 330

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5337,2970 By Matching Biggest Common Factor Method

Greatest Common Factor of 5337,2970 By Matching Biggest Common Factor Method

Factors of 5337

List of positive integer factors of 5337 that divides 5337 without a remainder.

1,3,9,593,1779,5337

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

Greatest Common Factor

We found the factors 5337,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 5337,2970 is 9.

Lets's calculate LCM of 384,517

Given numbers has no common factors except 1. So, there LCM is their product i.e 198528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/198528

Therefore, the GCF of Fractions 5337/384,2970/517 is 9/198528

Least Common Multiple of 384,517 with GCF Formula

Least Common Multiple of 384,517 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 384,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,517) = 1

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

GCF(384,517) x common factors =1 x 1 = 1

LCM(384,517) = ( 384 × 517 ) / 1

LCM(384,517) = 198528 / 1

LCM(384,517) = 198528


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 5337/384, 2970/517

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 5337/384, 2970/517?

Answer: GCF of Numerators as per given numbers 5337/384, 2970/517 is

GCF of Numerators i.e. for 5337,2970 is 9

LCM of denominators i.e. for 384,517 is 198528.

Thus, GCF of Fractions is 9/198528.Finally, GCF of Fractions for 5337/384, 2970/517 is 9/198528.