Greatest Common Factor of 7719/13, 1326/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7719/13, 1326/644

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 7719/13,1326/644

Given fractions are 7719/13,1326/644

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 7719,1326

Greatest Common Factor of Numerators i.e. GCF of 7719,1326 is 3 .

LCM of Denominators means LCM of 13,644 as per the given fractions.

LCM of 13,644 is 8372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7719,1326

GCF of Fractions 7719/13,1326/644 is 3/8372

3 7719, 1326
2573, 442

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

Greatest Common Factor of 7719,1326 By Matching Biggest Common Factor Method

Greatest Common Factor of 7719,1326 By Matching Biggest Common Factor Method

Factors of 7719

List of positive integer factors of 7719 that divides 7719 without a remainder.

1,3,31,83,93,249,2573,7719

Factors of 1326

List of positive integer factors of 1326 that divides 1326 without a remainder.

1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326

Greatest Common Factor

We found the factors 7719,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 7719,1326 is 3.

Lets's calculate LCM of 13,644

Given numbers has no common factors except 1. So, there LCM is their product i.e 8372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8372

Therefore, the GCF of Fractions 7719/13,1326/644 is 3/8372

Least Common Multiple of 13,644 with GCF Formula

Least Common Multiple of 13,644 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 13,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,644) = 1

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

GCF(13,644) x common factors =1 x 1 = 1

LCM(13,644) = ( 13 × 644 ) / 1

LCM(13,644) = 8372 / 1

LCM(13,644) = 8372


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 7719/13, 1326/644

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 7719/13, 1326/644?

Answer: GCF of Numerators as per given numbers 7719/13, 1326/644 is

GCF of Numerators i.e. for 7719,1326 is 3

LCM of denominators i.e. for 13,644 is 8372.

Thus, GCF of Fractions is 3/8372.Finally, GCF of Fractions for 7719/13, 1326/644 is 3/8372.