Greatest Common Factor of 270/655, 2766/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 270/655, 2766/108

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 270/655,2766/108

Given fractions are 270/655,2766/108

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 270,2766

Greatest Common Factor of Numerators i.e. GCF of 270,2766 is 6 .

LCM of Denominators means LCM of 655,108 as per the given fractions.

LCM of 655,108 is 70740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 270,2766

GCF of Fractions 270/655,2766/108 is 6/70740

2 270, 2766
3 135, 1383
45, 461

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 270,2766 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,2766 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 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors 270,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 270,2766 is 6.

Lets's calculate LCM of 655,108

Given numbers has no common factors except 1. So, there LCM is their product i.e 70740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/70740

Therefore, the GCF of Fractions 270/655,2766/108 is 6/70740

Least Common Multiple of 655,108 with GCF Formula

Least Common Multiple of 655,108 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 655,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,108) = 1

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

GCF(655,108) x common factors =1 x 1 = 1

LCM(655,108) = ( 655 × 108 ) / 1

LCM(655,108) = 70740 / 1

LCM(655,108) = 70740


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 270/655, 2766/108

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 270/655, 2766/108?

Answer: GCF of Numerators as per given numbers 270/655, 2766/108 is

GCF of Numerators i.e. for 270,2766 is 6

LCM of denominators i.e. for 655,108 is 70740.

Thus, GCF of Fractions is 6/70740.Finally, GCF of Fractions for 270/655, 2766/108 is 6/70740.