Greatest Common Factor of 9329/271, 7102/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9329/271, 7102/134

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 9329/271,7102/134

Given fractions are 9329/271,7102/134

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 9329,7102

Greatest Common Factor of Numerators i.e. GCF of 9329,7102 is 1 .

LCM of Denominators means LCM of 271,134 as per the given fractions.

LCM of 271,134 is 36314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9329,7102

GCF of Fractions 9329/271,7102/134 is 1/36314

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

Greatest Common Factor of 9329,7102 By Matching Biggest Common Factor Method

Greatest Common Factor of 9329,7102 By Matching Biggest Common Factor Method

Factors of 9329

List of positive integer factors of 9329 that divides 9329 without a remainder.

1,19,491,9329

Factors of 7102

List of positive integer factors of 7102 that divides 7102 without a remainder.

1,2,53,67,106,134,3551,7102

Greatest Common Factor

We found the factors 9329,7102 . The biggest common factor number is the GCF number.
So the greatest common factor 9329,7102 is 1.

Lets's calculate LCM of 271,134

Given numbers has no common factors except 1. So, there LCM is their product i.e 36314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36314

Therefore, the GCF of Fractions 9329/271,7102/134 is 1/36314

Least Common Multiple of 271,134 with GCF Formula

Least Common Multiple of 271,134 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 271,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,134) = 1

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

GCF(271,134) x common factors =1 x 1 = 1

LCM(271,134) = ( 271 × 134 ) / 1

LCM(271,134) = 36314 / 1

LCM(271,134) = 36314


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 9329/271, 7102/134

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 9329/271, 7102/134?

Answer: GCF of Numerators as per given numbers 9329/271, 7102/134 is

GCF of Numerators i.e. for 9329,7102 is 1

LCM of denominators i.e. for 271,134 is 36314.

Thus, GCF of Fractions is 1/36314.Finally, GCF of Fractions for 9329/271, 7102/134 is 1/36314.