Greatest Common Factor of 272/458, 539/357, 351/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/458, 539/357, 351/747

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 272/458,539/357,351/747

Given fractions are 272/458,539/357,351/747

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 272,539,351

Greatest Common Factor of Numerators i.e. GCF of 272,539,351 is 1 .

LCM of Denominators means LCM of 458,357,747 as per the given fractions.

LCM of 458,357,747 is 40712994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,539,351

GCF of Fractions 272/458,539/357,351/747 is 1/40712994

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

Greatest Common Factor of 272,539,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,539,351 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 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 272,539,351 . The biggest common factor number is the GCF number.
So the greatest common factor 272,539,351 is 1.

Lets's calculate LCM of 458,357,747

3 458, 357, 747
458, 119, 249

∴ So the LCM of the given numbers is 3 x 458 x 119 x 249 = 40712994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40712994

Therefore, the GCF of Fractions 272/458,539/357,351/747 is 1/40712994

Least Common Multiple of 458,357,747 with GCF Formula

Least Common Multiple of 458,357,747 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 458,357,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,357,747) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(458,357,747) x common factors =1 x 3 = 3

LCM(458,357,747) = ( 458 × 357 × 747 ) / 3

LCM(458,357,747) = 122138982 / 3

LCM(458,357,747) = 40712994


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 272/458, 539/357, 351/747

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 272/458, 539/357, 351/747?

Answer: GCF of Numerators as per given numbers 272/458, 539/357, 351/747 is

GCF of Numerators i.e. for 272,539,351 is 1

LCM of denominators i.e. for 458,357,747 is 40712994.

Thus, GCF of Fractions is 1/40712994.Finally, GCF of Fractions for 272/458, 539/357, 351/747 is 1/40712994.