Greatest Common Factor of 76/37, 556/81, 266/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/37, 556/81, 266/291

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 76/37,556/81,266/291

Given fractions are 76/37,556/81,266/291

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 76,556,266

Greatest Common Factor of Numerators i.e. GCF of 76,556,266 is 2 .

LCM of Denominators means LCM of 37,81,291 as per the given fractions.

LCM of 37,81,291 is 290709 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,556,266

GCF of Fractions 76/37,556/81,266/291 is 2/290709

2 76, 556, 266
38, 278, 133

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 76,556,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,556,266 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 76,556,266 . The biggest common factor number is the GCF number.
So the greatest common factor 76,556,266 is 2.

Lets's calculate LCM of 37,81,291

3 37, 81, 291
37, 27, 97

∴ So the LCM of the given numbers is 3 x 37 x 27 x 97 = 290709

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/290709

Therefore, the GCF of Fractions 76/37,556/81,266/291 is 2/290709

Least Common Multiple of 37,81,291 with GCF Formula

Least Common Multiple of 37,81,291 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 37,81,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,81,291) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(37,81,291) x common factors =1 x 3 = 3

LCM(37,81,291) = ( 37 × 81 × 291 ) / 3

LCM(37,81,291) = 872127 / 3

LCM(37,81,291) = 290709


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 76/37, 556/81, 266/291

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 76/37, 556/81, 266/291?

Answer: GCF of Numerators as per given numbers 76/37, 556/81, 266/291 is

GCF of Numerators i.e. for 76,556,266 is 2

LCM of denominators i.e. for 37,81,291 is 290709.

Thus, GCF of Fractions is 2/290709.Finally, GCF of Fractions for 76/37, 556/81, 266/291 is 2/290709.