Greatest Common Factor of 273/41, 618/31, 731/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/41, 618/31, 731/11

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 273/41,618/31,731/11

Given fractions are 273/41,618/31,731/11

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 273,618,731

Greatest Common Factor of Numerators i.e. GCF of 273,618,731 is 1 .

LCM of Denominators means LCM of 41,31,11 as per the given fractions.

LCM of 41,31,11 is 13981 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,618,731

GCF of Fractions 273/41,618/31,731/11 is 1/13981

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

Greatest Common Factor of 273,618,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,618,731 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 273,618,731 . The biggest common factor number is the GCF number.
So the greatest common factor 273,618,731 is 1.

Lets's calculate LCM of 41,31,11

Given numbers has no common factors except 1. So, there LCM is their product i.e 13981

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13981

Therefore, the GCF of Fractions 273/41,618/31,731/11 is 1/13981

Least Common Multiple of 41,31,11 with GCF Formula

Least Common Multiple of 41,31,11 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 41,31,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,31,11) = 1

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

GCF(41,31,11) x common factors =1 x 1 = 1

LCM(41,31,11) = ( 41 × 31 × 11 ) / 1

LCM(41,31,11) = 13981 / 1

LCM(41,31,11) = 13981


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 273/41, 618/31, 731/11

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 273/41, 618/31, 731/11?

Answer: GCF of Numerators as per given numbers 273/41, 618/31, 731/11 is

GCF of Numerators i.e. for 273,618,731 is 1

LCM of denominators i.e. for 41,31,11 is 13981.

Thus, GCF of Fractions is 1/13981.Finally, GCF of Fractions for 273/41, 618/31, 731/11 is 1/13981.