Greatest Common Factor of 272/309, 7022/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/309, 7022/732

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 272/309,7022/732

Given fractions are 272/309,7022/732

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 272,7022

Greatest Common Factor of Numerators i.e. GCF of 272,7022 is 2 .

LCM of Denominators means LCM of 309,732 as per the given fractions.

LCM of 309,732 is 75396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,7022

GCF of Fractions 272/309,7022/732 is 2/75396

2 272, 7022
136, 3511

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 272,7022 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,7022 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 7022

List of positive integer factors of 7022 that divides 7022 without a remainder.

1,2,3511,7022

Greatest Common Factor

We found the factors 272,7022 . The biggest common factor number is the GCF number.
So the greatest common factor 272,7022 is 2.

Lets's calculate LCM of 309,732

3 309, 732
103, 244

∴ So the LCM of the given numbers is 3 x 103 x 244 = 75396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75396

Therefore, the GCF of Fractions 272/309,7022/732 is 2/75396

Least Common Multiple of 309,732 with GCF Formula

Least Common Multiple of 309,732 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 309,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,732) = 3

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

GCF(309,732) x common factors =3 x 1 = 3

LCM(309,732) = ( 309 × 732 ) / 3

LCM(309,732) = 226188 / 3

LCM(309,732) = 75396


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 272/309, 7022/732

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 272/309, 7022/732?

Answer: GCF of Numerators as per given numbers 272/309, 7022/732 is

GCF of Numerators i.e. for 272,7022 is 2

LCM of denominators i.e. for 309,732 is 75396.

Thus, GCF of Fractions is 2/75396.Finally, GCF of Fractions for 272/309, 7022/732 is 2/75396.