Greatest Common Factor of 8739/921, 7085/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8739/921, 7085/303

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 8739/921,7085/303

Given fractions are 8739/921,7085/303

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 8739,7085

Greatest Common Factor of Numerators i.e. GCF of 8739,7085 is 1 .

LCM of Denominators means LCM of 921,303 as per the given fractions.

LCM of 921,303 is 93021 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8739,7085

GCF of Fractions 8739/921,7085/303 is 1/93021

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

Greatest Common Factor of 8739,7085 By Matching Biggest Common Factor Method

Greatest Common Factor of 8739,7085 By Matching Biggest Common Factor Method

Factors of 8739

List of positive integer factors of 8739 that divides 8739 without a remainder.

1,3,9,971,2913,8739

Factors of 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1,5,13,65,109,545,1417,7085

Greatest Common Factor

We found the factors 8739,7085 . The biggest common factor number is the GCF number.
So the greatest common factor 8739,7085 is 1.

Lets's calculate LCM of 921,303

3 921, 303
307, 101

∴ So the LCM of the given numbers is 3 x 307 x 101 = 93021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93021

Therefore, the GCF of Fractions 8739/921,7085/303 is 1/93021

Least Common Multiple of 921,303 with GCF Formula

Least Common Multiple of 921,303 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 921,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,303) = 3

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

GCF(921,303) x common factors =3 x 1 = 3

LCM(921,303) = ( 921 × 303 ) / 3

LCM(921,303) = 279063 / 3

LCM(921,303) = 93021


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 8739/921, 7085/303

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 8739/921, 7085/303?

Answer: GCF of Numerators as per given numbers 8739/921, 7085/303 is

GCF of Numerators i.e. for 8739,7085 is 1

LCM of denominators i.e. for 921,303 is 93021.

Thus, GCF of Fractions is 1/93021.Finally, GCF of Fractions for 8739/921, 7085/303 is 1/93021.