Greatest Common Factor of 9729/133, 7721/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9729/133, 7721/331

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 9729/133,7721/331

Given fractions are 9729/133,7721/331

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 9729,7721

Greatest Common Factor of Numerators i.e. GCF of 9729,7721 is 1 .

LCM of Denominators means LCM of 133,331 as per the given fractions.

LCM of 133,331 is 44023 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9729,7721

GCF of Fractions 9729/133,7721/331 is 1/44023

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

Greatest Common Factor of 9729,7721 By Matching Biggest Common Factor Method

Greatest Common Factor of 9729,7721 By Matching Biggest Common Factor Method

Factors of 9729

List of positive integer factors of 9729 that divides 9729 without a remainder.

1,3,9,23,47,69,141,207,423,1081,3243,9729

Factors of 7721

List of positive integer factors of 7721 that divides 7721 without a remainder.

1,7,1103,7721

Greatest Common Factor

We found the factors 9729,7721 . The biggest common factor number is the GCF number.
So the greatest common factor 9729,7721 is 1.

Lets's calculate LCM of 133,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 44023

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44023

Therefore, the GCF of Fractions 9729/133,7721/331 is 1/44023

Least Common Multiple of 133,331 with GCF Formula

Least Common Multiple of 133,331 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 133,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,331) = 1

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

GCF(133,331) x common factors =1 x 1 = 1

LCM(133,331) = ( 133 × 331 ) / 1

LCM(133,331) = 44023 / 1

LCM(133,331) = 44023


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 9729/133, 7721/331

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 9729/133, 7721/331?

Answer: GCF of Numerators as per given numbers 9729/133, 7721/331 is

GCF of Numerators i.e. for 9729,7721 is 1

LCM of denominators i.e. for 133,331 is 44023.

Thus, GCF of Fractions is 1/44023.Finally, GCF of Fractions for 9729/133, 7721/331 is 1/44023.