Greatest Common Factor of 9676/237, 5739/4188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9676/237, 5739/4188

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 9676/237,5739/4188

Given fractions are 9676/237,5739/4188

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 9676,5739

Greatest Common Factor of Numerators i.e. GCF of 9676,5739 is 1 .

LCM of Denominators means LCM of 237,4188 as per the given fractions.

LCM of 237,4188 is 330852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9676,5739

GCF of Fractions 9676/237,5739/4188 is 1/330852

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

Greatest Common Factor of 9676,5739 By Matching Biggest Common Factor Method

Greatest Common Factor of 9676,5739 By Matching Biggest Common Factor Method

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1,2,4,41,59,82,118,164,236,2419,4838,9676

Factors of 5739

List of positive integer factors of 5739 that divides 5739 without a remainder.

1,3,1913,5739

Greatest Common Factor

We found the factors 9676,5739 . The biggest common factor number is the GCF number.
So the greatest common factor 9676,5739 is 1.

Lets's calculate LCM of 237,4188

3 237, 4188
79, 1396

∴ So the LCM of the given numbers is 3 x 79 x 1396 = 330852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330852

Therefore, the GCF of Fractions 9676/237,5739/4188 is 1/330852

Least Common Multiple of 237,4188 with GCF Formula

Least Common Multiple of 237,4188 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 237,4188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,4188) = 3

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

GCF(237,4188) x common factors =3 x 1 = 3

LCM(237,4188) = ( 237 × 4188 ) / 3

LCM(237,4188) = 992556 / 3

LCM(237,4188) = 330852


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 9676/237, 5739/4188

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 9676/237, 5739/4188?

Answer: GCF of Numerators as per given numbers 9676/237, 5739/4188 is

GCF of Numerators i.e. for 9676,5739 is 1

LCM of denominators i.e. for 237,4188 is 330852.

Thus, GCF of Fractions is 1/330852.Finally, GCF of Fractions for 9676/237, 5739/4188 is 1/330852.