Greatest Common Factor of 2766/388, 6609/5748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2766/388, 6609/5748

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 2766/388,6609/5748

Given fractions are 2766/388,6609/5748

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 2766,6609

Greatest Common Factor of Numerators i.e. GCF of 2766,6609 is 3 .

LCM of Denominators means LCM of 388,5748 as per the given fractions.

LCM of 388,5748 is 557556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2766,6609

GCF of Fractions 2766/388,6609/5748 is 3/557556

3 2766, 6609
922, 2203

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

Greatest Common Factor of 2766,6609 By Matching Biggest Common Factor Method

Greatest Common Factor of 2766,6609 By Matching Biggest Common Factor Method

Factors of 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1,2,3,6,461,922,1383,2766

Factors of 6609

List of positive integer factors of 6609 that divides 6609 without a remainder.

1,3,2203,6609

Greatest Common Factor

We found the factors 2766,6609 . The biggest common factor number is the GCF number.
So the greatest common factor 2766,6609 is 3.

Lets's calculate LCM of 388,5748

2 388, 5748
2 194, 2874
97, 1437

∴ So the LCM of the given numbers is 2 x 2 x 97 x 1437 = 557556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/557556

Therefore, the GCF of Fractions 2766/388,6609/5748 is 3/557556

Least Common Multiple of 388,5748 with GCF Formula

Least Common Multiple of 388,5748 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 388,5748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,5748) = 4

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

GCF(388,5748) x common factors =4 x 1 = 4

LCM(388,5748) = ( 388 × 5748 ) / 4

LCM(388,5748) = 2230224 / 4

LCM(388,5748) = 557556


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 2766/388, 6609/5748

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 2766/388, 6609/5748?

Answer: GCF of Numerators as per given numbers 2766/388, 6609/5748 is

GCF of Numerators i.e. for 2766,6609 is 3

LCM of denominators i.e. for 388,5748 is 557556.

Thus, GCF of Fractions is 3/557556.Finally, GCF of Fractions for 2766/388, 6609/5748 is 3/557556.