Greatest Common Factor of 483/27, 567/19, 540/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/27, 567/19, 540/478

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 483/27,567/19,540/478

Given fractions are 483/27,567/19,540/478

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 483,567,540

Greatest Common Factor of Numerators i.e. GCF of 483,567,540 is 3 .

LCM of Denominators means LCM of 27,19,478 as per the given fractions.

LCM of 27,19,478 is 245214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,567,540

GCF of Fractions 483/27,567/19,540/478 is 3/245214

3 483, 567, 540
161, 189, 180

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

Greatest Common Factor of 483,567,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,567,540 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 483,567,540 . The biggest common factor number is the GCF number.
So the greatest common factor 483,567,540 is 3.

Lets's calculate LCM of 27,19,478

Given numbers has no common factors except 1. So, there LCM is their product i.e 245214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/245214

Therefore, the GCF of Fractions 483/27,567/19,540/478 is 3/245214

Least Common Multiple of 27,19,478 with GCF Formula

Least Common Multiple of 27,19,478 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 27,19,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,19,478) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(27,19,478) x common factors =1 x 1 = 1

LCM(27,19,478) = ( 27 × 19 × 478 ) / 1

LCM(27,19,478) = 245214 / 1

LCM(27,19,478) = 245214


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 483/27, 567/19, 540/478

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 483/27, 567/19, 540/478?

Answer: GCF of Numerators as per given numbers 483/27, 567/19, 540/478 is

GCF of Numerators i.e. for 483,567,540 is 3

LCM of denominators i.e. for 27,19,478 is 245214.

Thus, GCF of Fractions is 3/245214.Finally, GCF of Fractions for 483/27, 567/19, 540/478 is 3/245214.