Greatest Common Factor of 642/81, 666/11, 291/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/81, 666/11, 291/12

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 642/81,666/11,291/12

Given fractions are 642/81,666/11,291/12

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 642,666,291

Greatest Common Factor of Numerators i.e. GCF of 642,666,291 is 3 .

LCM of Denominators means LCM of 81,11,12 as per the given fractions.

LCM of 81,11,12 is 3564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,666,291

GCF of Fractions 642/81,666/11,291/12 is 3/3564

3 642, 666, 291
214, 222, 97

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

Greatest Common Factor of 642,666,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,666,291 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 642,666,291 . The biggest common factor number is the GCF number.
So the greatest common factor 642,666,291 is 3.

Lets's calculate LCM of 81,11,12

3 81, 11, 12
27, 11, 4

∴ So the LCM of the given numbers is 3 x 27 x 11 x 4 = 3564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3564

Therefore, the GCF of Fractions 642/81,666/11,291/12 is 3/3564

Least Common Multiple of 81,11,12 with GCF Formula

Least Common Multiple of 81,11,12 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 81,11,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,11,12) = 1

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

GCF(81,11,12) x common factors =1 x 3 = 3

LCM(81,11,12) = ( 81 × 11 × 12 ) / 3

LCM(81,11,12) = 10692 / 3

LCM(81,11,12) = 3564


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 642/81, 666/11, 291/12

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 642/81, 666/11, 291/12?

Answer: GCF of Numerators as per given numbers 642/81, 666/11, 291/12 is

GCF of Numerators i.e. for 642,666,291 is 3

LCM of denominators i.e. for 81,11,12 is 3564.

Thus, GCF of Fractions is 3/3564.Finally, GCF of Fractions for 642/81, 666/11, 291/12 is 3/3564.