Greatest Common Factor of 81/29, 39/27, 626/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/29, 39/27, 626/387

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 81/29,39/27,626/387

Given fractions are 81/29,39/27,626/387

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 81,39,626

Greatest Common Factor of Numerators i.e. GCF of 81,39,626 is 1 .

LCM of Denominators means LCM of 29,27,387 as per the given fractions.

LCM of 29,27,387 is 33669 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,39,626

GCF of Fractions 81/29,39/27,626/387 is 1/33669

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 81,39,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,39,626 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 81,39,626 . The biggest common factor number is the GCF number.
So the greatest common factor 81,39,626 is 1.

Lets's calculate LCM of 29,27,387

3 29, 27, 387
3 29, 9, 129
29, 3, 43

∴ So the LCM of the given numbers is 3 x 3 x 29 x 3 x 43 = 33669

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33669

Therefore, the GCF of Fractions 81/29,39/27,626/387 is 1/33669

Least Common Multiple of 29,27,387 with GCF Formula

Least Common Multiple of 29,27,387 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 29,27,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,27,387) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(29,27,387) x common factors =1 x 9 = 9

LCM(29,27,387) = ( 29 × 27 × 387 ) / 9

LCM(29,27,387) = 303021 / 9

LCM(29,27,387) = 33669


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 81/29, 39/27, 626/387

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 81/29, 39/27, 626/387?

Answer: GCF of Numerators as per given numbers 81/29, 39/27, 626/387 is

GCF of Numerators i.e. for 81,39,626 is 1

LCM of denominators i.e. for 29,27,387 is 33669.

Thus, GCF of Fractions is 1/33669.Finally, GCF of Fractions for 81/29, 39/27, 626/387 is 1/33669.