Greatest Common Factor of 327/57, 638/81, 415/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 327/57, 638/81, 415/81

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 327/57,638/81,415/81

Given fractions are 327/57,638/81,415/81

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 327,638,415

Greatest Common Factor of Numerators i.e. GCF of 327,638,415 is 1 .

LCM of Denominators means LCM of 57,81,81 as per the given fractions.

LCM of 57,81,81 is 1539 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 327,638,415

GCF of Fractions 327/57,638/81,415/81 is 1/1539

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

Greatest Common Factor of 327,638,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,638,415 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 327,638,415 . The biggest common factor number is the GCF number.
So the greatest common factor 327,638,415 is 1.

Lets's calculate LCM of 57,81,81

3 57, 81, 81
3 19, 27, 27
3 19, 9, 9
3 19, 3, 3
19, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 19 x 1 x 1 = 1539

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1539

Therefore, the GCF of Fractions 327/57,638/81,415/81 is 1/1539

Least Common Multiple of 57,81,81 with GCF Formula

Least Common Multiple of 57,81,81 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 57,81,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,81,81) = 3

common factors(in case of two or more numbers have common factors) = 81

GCF(57,81,81) x common factors =3 x 81 = 243

LCM(57,81,81) = ( 57 × 81 × 81 ) / 243

LCM(57,81,81) = 373977 / 243

LCM(57,81,81) = 1539


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 327/57, 638/81, 415/81

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 327/57, 638/81, 415/81?

Answer: GCF of Numerators as per given numbers 327/57, 638/81, 415/81 is

GCF of Numerators i.e. for 327,638,415 is 1

LCM of denominators i.e. for 57,81,81 is 1539.

Thus, GCF of Fractions is 1/1539.Finally, GCF of Fractions for 327/57, 638/81, 415/81 is 1/1539.