Greatest Common Factor of 270/11, 567/7378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 270/11, 567/7378

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 270/11,567/7378

Given fractions are 270/11,567/7378

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 270,567

Greatest Common Factor of Numerators i.e. GCF of 270,567 is 27 .

LCM of Denominators means LCM of 11,7378 as per the given fractions.

LCM of 11,7378 is 81158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 270,567

GCF of Fractions 270/11,567/7378 is 27/81158

3 270, 567
3 90, 189
3 30, 63
10, 21

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 270,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,567 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

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

Greatest Common Factor

We found the factors 270,567 . The biggest common factor number is the GCF number.
So the greatest common factor 270,567 is 27.

Lets's calculate LCM of 11,7378

Given numbers has no common factors except 1. So, there LCM is their product i.e 81158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/81158

Therefore, the GCF of Fractions 270/11,567/7378 is 27/81158

Least Common Multiple of 11,7378 with GCF Formula

Least Common Multiple of 11,7378 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 11,7378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,7378) = 1

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

GCF(11,7378) x common factors =1 x 1 = 1

LCM(11,7378) = ( 11 × 7378 ) / 1

LCM(11,7378) = 81158 / 1

LCM(11,7378) = 81158


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 270/11, 567/7378

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 270/11, 567/7378?

Answer: GCF of Numerators as per given numbers 270/11, 567/7378 is

GCF of Numerators i.e. for 270,567 is 27

LCM of denominators i.e. for 11,7378 is 81158.

Thus, GCF of Fractions is 27/81158.Finally, GCF of Fractions for 270/11, 567/7378 is 27/81158.