Greatest Common Factor of 255/27, 259/39, 674/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/27, 259/39, 674/251

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 255/27,259/39,674/251

Given fractions are 255/27,259/39,674/251

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 255,259,674

Greatest Common Factor of Numerators i.e. GCF of 255,259,674 is 1 .

LCM of Denominators means LCM of 27,39,251 as per the given fractions.

LCM of 27,39,251 is 88101 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,259,674

GCF of Fractions 255/27,259/39,674/251 is 1/88101

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

Greatest Common Factor of 255,259,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,259,674 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 255,259,674 . The biggest common factor number is the GCF number.
So the greatest common factor 255,259,674 is 1.

Lets's calculate LCM of 27,39,251

3 27, 39, 251
9, 13, 251

∴ So the LCM of the given numbers is 3 x 9 x 13 x 251 = 88101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88101

Therefore, the GCF of Fractions 255/27,259/39,674/251 is 1/88101

Least Common Multiple of 27,39,251 with GCF Formula

Least Common Multiple of 27,39,251 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 27,39,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,39,251) = 1

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

GCF(27,39,251) x common factors =1 x 3 = 3

LCM(27,39,251) = ( 27 × 39 × 251 ) / 3

LCM(27,39,251) = 264303 / 3

LCM(27,39,251) = 88101


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 255/27, 259/39, 674/251

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 255/27, 259/39, 674/251?

Answer: GCF of Numerators as per given numbers 255/27, 259/39, 674/251 is

GCF of Numerators i.e. for 255,259,674 is 1

LCM of denominators i.e. for 27,39,251 is 88101.

Thus, GCF of Fractions is 1/88101.Finally, GCF of Fractions for 255/27, 259/39, 674/251 is 1/88101.