Greatest Common Factor of 9741/131, 7733/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9741/131, 7733/629

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 9741/131,7733/629

Given fractions are 9741/131,7733/629

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 9741,7733

Greatest Common Factor of Numerators i.e. GCF of 9741,7733 is 1 .

LCM of Denominators means LCM of 131,629 as per the given fractions.

LCM of 131,629 is 82399 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9741,7733

GCF of Fractions 9741/131,7733/629 is 1/82399

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

Greatest Common Factor of 9741,7733 By Matching Biggest Common Factor Method

Greatest Common Factor of 9741,7733 By Matching Biggest Common Factor Method

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1,3,17,51,191,573,3247,9741

Factors of 7733

List of positive integer factors of 7733 that divides 7733 without a remainder.

1,11,19,37,209,407,703,7733

Greatest Common Factor

We found the factors 9741,7733 . The biggest common factor number is the GCF number.
So the greatest common factor 9741,7733 is 1.

Lets's calculate LCM of 131,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 82399

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82399

Therefore, the GCF of Fractions 9741/131,7733/629 is 1/82399

Least Common Multiple of 131,629 with GCF Formula

Least Common Multiple of 131,629 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 131,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,629) = 1

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

GCF(131,629) x common factors =1 x 1 = 1

LCM(131,629) = ( 131 × 629 ) / 1

LCM(131,629) = 82399 / 1

LCM(131,629) = 82399


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 9741/131, 7733/629

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 9741/131, 7733/629?

Answer: GCF of Numerators as per given numbers 9741/131, 7733/629 is

GCF of Numerators i.e. for 9741,7733 is 1

LCM of denominators i.e. for 131,629 is 82399.

Thus, GCF of Fractions is 1/82399.Finally, GCF of Fractions for 9741/131, 7733/629 is 1/82399.