Greatest Common Factor of 9581/26, 7539/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9581/26, 7539/136

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 9581/26,7539/136

Given fractions are 9581/26,7539/136

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 9581,7539

Greatest Common Factor of Numerators i.e. GCF of 9581,7539 is 1 .

LCM of Denominators means LCM of 26,136 as per the given fractions.

LCM of 26,136 is 1768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9581,7539

GCF of Fractions 9581/26,7539/136 is 1/1768

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

Greatest Common Factor of 9581,7539 By Matching Biggest Common Factor Method

Greatest Common Factor of 9581,7539 By Matching Biggest Common Factor Method

Factors of 9581

List of positive integer factors of 9581 that divides 9581 without a remainder.

1,11,13,67,143,737,871,9581

Factors of 7539

List of positive integer factors of 7539 that divides 7539 without a remainder.

1,3,7,21,359,1077,2513,7539

Greatest Common Factor

We found the factors 9581,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 9581,7539 is 1.

Lets's calculate LCM of 26,136

2 26, 136
13, 68

∴ So the LCM of the given numbers is 2 x 13 x 68 = 1768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1768

Therefore, the GCF of Fractions 9581/26,7539/136 is 1/1768

Least Common Multiple of 26,136 with GCF Formula

Least Common Multiple of 26,136 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 26,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,136) = 2

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

GCF(26,136) x common factors =2 x 1 = 2

LCM(26,136) = ( 26 × 136 ) / 2

LCM(26,136) = 3536 / 2

LCM(26,136) = 1768


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 9581/26, 7539/136

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 9581/26, 7539/136?

Answer: GCF of Numerators as per given numbers 9581/26, 7539/136 is

GCF of Numerators i.e. for 9581,7539 is 1

LCM of denominators i.e. for 26,136 is 1768.

Thus, GCF of Fractions is 1/1768.Finally, GCF of Fractions for 9581/26, 7539/136 is 1/1768.