Greatest Common Factor of 7644/759, 4089/9252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7644/759, 4089/9252

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 7644/759,4089/9252

Given fractions are 7644/759,4089/9252

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 7644,4089

Greatest Common Factor of Numerators i.e. GCF of 7644,4089 is 3 .

LCM of Denominators means LCM of 759,9252 as per the given fractions.

LCM of 759,9252 is 2340756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7644,4089

GCF of Fractions 7644/759,4089/9252 is 3/2340756

3 7644, 4089
2548, 1363

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7644,4089 By Matching Biggest Common Factor Method

Greatest Common Factor of 7644,4089 By Matching Biggest Common Factor Method

Factors of 7644

List of positive integer factors of 7644 that divides 7644 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644

Factors of 4089

List of positive integer factors of 4089 that divides 4089 without a remainder.

1,3,29,47,87,141,1363,4089

Greatest Common Factor

We found the factors 7644,4089 . The biggest common factor number is the GCF number.
So the greatest common factor 7644,4089 is 3.

Lets's calculate LCM of 759,9252

3 759, 9252
253, 3084

∴ So the LCM of the given numbers is 3 x 253 x 3084 = 2340756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2340756

Therefore, the GCF of Fractions 7644/759,4089/9252 is 3/2340756

Least Common Multiple of 759,9252 with GCF Formula

Least Common Multiple of 759,9252 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 759,9252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,9252) = 3

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

GCF(759,9252) x common factors =3 x 1 = 3

LCM(759,9252) = ( 759 × 9252 ) / 3

LCM(759,9252) = 7022268 / 3

LCM(759,9252) = 2340756


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 7644/759, 4089/9252

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 7644/759, 4089/9252?

Answer: GCF of Numerators as per given numbers 7644/759, 4089/9252 is

GCF of Numerators i.e. for 7644,4089 is 3

LCM of denominators i.e. for 759,9252 is 2340756.

Thus, GCF of Fractions is 3/2340756.Finally, GCF of Fractions for 7644/759, 4089/9252 is 3/2340756.