Greatest Common Factor of 9804/876, 2637/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9804/876, 2637/326

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 9804/876,2637/326

Given fractions are 9804/876,2637/326

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 9804,2637

Greatest Common Factor of Numerators i.e. GCF of 9804,2637 is 3 .

LCM of Denominators means LCM of 876,326 as per the given fractions.

LCM of 876,326 is 142788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9804,2637

GCF of Fractions 9804/876,2637/326 is 3/142788

3 9804, 2637
3268, 879

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

Greatest Common Factor of 9804,2637 By Matching Biggest Common Factor Method

Greatest Common Factor of 9804,2637 By Matching Biggest Common Factor Method

Factors of 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804

Factors of 2637

List of positive integer factors of 2637 that divides 2637 without a remainder.

1,3,9,293,879,2637

Greatest Common Factor

We found the factors 9804,2637 . The biggest common factor number is the GCF number.
So the greatest common factor 9804,2637 is 3.

Lets's calculate LCM of 876,326

2 876, 326
438, 163

∴ So the LCM of the given numbers is 2 x 438 x 163 = 142788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/142788

Therefore, the GCF of Fractions 9804/876,2637/326 is 3/142788

Least Common Multiple of 876,326 with GCF Formula

Least Common Multiple of 876,326 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 876,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,326) = 2

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

GCF(876,326) x common factors =2 x 1 = 2

LCM(876,326) = ( 876 × 326 ) / 2

LCM(876,326) = 285576 / 2

LCM(876,326) = 142788


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 9804/876, 2637/326

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 9804/876, 2637/326?

Answer: GCF of Numerators as per given numbers 9804/876, 2637/326 is

GCF of Numerators i.e. for 9804,2637 is 3

LCM of denominators i.e. for 876,326 is 142788.

Thus, GCF of Fractions is 3/142788.Finally, GCF of Fractions for 9804/876, 2637/326 is 3/142788.