Greatest Common Factor of 378/81, 605/15, 591/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 378/81, 605/15, 591/546

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 378/81,605/15,591/546

Given fractions are 378/81,605/15,591/546

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 378,605,591

Greatest Common Factor of Numerators i.e. GCF of 378,605,591 is 1 .

LCM of Denominators means LCM of 81,15,546 as per the given fractions.

LCM of 81,15,546 is 73710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 378,605,591

GCF of Fractions 378/81,605/15,591/546 is 1/73710

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

Greatest Common Factor of 378,605,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,605,591 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 378,605,591 . The biggest common factor number is the GCF number.
So the greatest common factor 378,605,591 is 1.

Lets's calculate LCM of 81,15,546

3 81, 15, 546
27, 5, 182

∴ So the LCM of the given numbers is 3 x 27 x 5 x 182 = 73710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73710

Therefore, the GCF of Fractions 378/81,605/15,591/546 is 1/73710

Least Common Multiple of 81,15,546 with GCF Formula

Least Common Multiple of 81,15,546 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 81,15,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,15,546) = 3

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

GCF(81,15,546) x common factors =3 x 3 = 9

LCM(81,15,546) = ( 81 × 15 × 546 ) / 9

LCM(81,15,546) = 663390 / 9

LCM(81,15,546) = 73710


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 378/81, 605/15, 591/546

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 378/81, 605/15, 591/546?

Answer: GCF of Numerators as per given numbers 378/81, 605/15, 591/546 is

GCF of Numerators i.e. for 378,605,591 is 1

LCM of denominators i.e. for 81,15,546 is 73710.

Thus, GCF of Fractions is 1/73710.Finally, GCF of Fractions for 378/81, 605/15, 591/546 is 1/73710.