Greatest Common Factor of 26/251, 18/305, 273/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/251, 18/305, 273/183

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 26/251,18/305,273/183

Given fractions are 26/251,18/305,273/183

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 26,18,273

Greatest Common Factor of Numerators i.e. GCF of 26,18,273 is 1 .

LCM of Denominators means LCM of 251,305,183 as per the given fractions.

LCM of 251,305,183 is 229665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,18,273

GCF of Fractions 26/251,18/305,273/183 is 1/229665

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

Greatest Common Factor of 26,18,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,18,273 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 273

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

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

Greatest Common Factor

We found the factors 26,18,273 . The biggest common factor number is the GCF number.
So the greatest common factor 26,18,273 is 1.

Lets's calculate LCM of 251,305,183

61 251, 305, 183
251, 5, 3

∴ So the LCM of the given numbers is 61 x 251 x 5 x 3 = 229665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229665

Therefore, the GCF of Fractions 26/251,18/305,273/183 is 1/229665

Least Common Multiple of 251,305,183 with GCF Formula

Least Common Multiple of 251,305,183 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 251,305,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,305,183) = 1

common factors(in case of two or more numbers have common factors) = 61

GCF(251,305,183) x common factors =1 x 61 = 61

LCM(251,305,183) = ( 251 × 305 × 183 ) / 61

LCM(251,305,183) = 14009565 / 61

LCM(251,305,183) = 229665


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 26/251, 18/305, 273/183

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 26/251, 18/305, 273/183?

Answer: GCF of Numerators as per given numbers 26/251, 18/305, 273/183 is

GCF of Numerators i.e. for 26,18,273 is 1

LCM of denominators i.e. for 251,305,183 is 229665.

Thus, GCF of Fractions is 1/229665.Finally, GCF of Fractions for 26/251, 18/305, 273/183 is 1/229665.