Greatest Common Factor of 272/10, 219/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/10, 219/972

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 272/10,219/972

Given fractions are 272/10,219/972

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 272,219

Greatest Common Factor of Numerators i.e. GCF of 272,219 is 1 .

LCM of Denominators means LCM of 10,972 as per the given fractions.

LCM of 10,972 is 4860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,219

GCF of Fractions 272/10,219/972 is 1/4860

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

Greatest Common Factor of 272,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,219 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 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 272,219 . The biggest common factor number is the GCF number.
So the greatest common factor 272,219 is 1.

Lets's calculate LCM of 10,972

2 10, 972
5, 486

∴ So the LCM of the given numbers is 2 x 5 x 486 = 4860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4860

Therefore, the GCF of Fractions 272/10,219/972 is 1/4860

Least Common Multiple of 10,972 with GCF Formula

Least Common Multiple of 10,972 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 10,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,972) = 2

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

GCF(10,972) x common factors =2 x 1 = 2

LCM(10,972) = ( 10 × 972 ) / 2

LCM(10,972) = 9720 / 2

LCM(10,972) = 4860


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 272/10, 219/972

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 272/10, 219/972?

Answer: GCF of Numerators as per given numbers 272/10, 219/972 is

GCF of Numerators i.e. for 272,219 is 1

LCM of denominators i.e. for 10,972 is 4860.

Thus, GCF of Fractions is 1/4860.Finally, GCF of Fractions for 272/10, 219/972 is 1/4860.