Greatest Common Factor of 9096/759, 8459/8541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9096/759, 8459/8541

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 9096/759,8459/8541

Given fractions are 9096/759,8459/8541

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 9096,8459

Greatest Common Factor of Numerators i.e. GCF of 9096,8459 is 1 .

LCM of Denominators means LCM of 759,8541 as per the given fractions.

LCM of 759,8541 is 2160873 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9096,8459

GCF of Fractions 9096/759,8459/8541 is 1/2160873

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

Greatest Common Factor of 9096,8459 By Matching Biggest Common Factor Method

Greatest Common Factor of 9096,8459 By Matching Biggest Common Factor Method

Factors of 9096

List of positive integer factors of 9096 that divides 9096 without a remainder.

1,2,3,4,6,8,12,24,379,758,1137,1516,2274,3032,4548,9096

Factors of 8459

List of positive integer factors of 8459 that divides 8459 without a remainder.

1,11,769,8459

Greatest Common Factor

We found the factors 9096,8459 . The biggest common factor number is the GCF number.
So the greatest common factor 9096,8459 is 1.

Lets's calculate LCM of 759,8541

3 759, 8541
253, 2847

∴ So the LCM of the given numbers is 3 x 253 x 2847 = 2160873

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2160873

Therefore, the GCF of Fractions 9096/759,8459/8541 is 1/2160873

Least Common Multiple of 759,8541 with GCF Formula

Least Common Multiple of 759,8541 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 759,8541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,8541) = 3

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

GCF(759,8541) x common factors =3 x 1 = 3

LCM(759,8541) = ( 759 × 8541 ) / 3

LCM(759,8541) = 6482619 / 3

LCM(759,8541) = 2160873


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 9096/759, 8459/8541

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 9096/759, 8459/8541?

Answer: GCF of Numerators as per given numbers 9096/759, 8459/8541 is

GCF of Numerators i.e. for 9096,8459 is 1

LCM of denominators i.e. for 759,8541 is 2160873.

Thus, GCF of Fractions is 1/2160873.Finally, GCF of Fractions for 9096/759, 8459/8541 is 1/2160873.