Greatest Common Factor of 255/82, 391/27, 323/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/82, 391/27, 323/87

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 255/82,391/27,323/87

Given fractions are 255/82,391/27,323/87

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 255,391,323

Greatest Common Factor of Numerators i.e. GCF of 255,391,323 is 17 .

LCM of Denominators means LCM of 82,27,87 as per the given fractions.

LCM of 82,27,87 is 64206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,391,323

GCF of Fractions 255/82,391/27,323/87 is 17/64206

17 255, 391, 323
15, 23, 19

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 255,391,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,391,323 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 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 255,391,323 . The biggest common factor number is the GCF number.
So the greatest common factor 255,391,323 is 17.

Lets's calculate LCM of 82,27,87

3 82, 27, 87
82, 9, 29

∴ So the LCM of the given numbers is 3 x 82 x 9 x 29 = 64206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/64206

Therefore, the GCF of Fractions 255/82,391/27,323/87 is 17/64206

Least Common Multiple of 82,27,87 with GCF Formula

Least Common Multiple of 82,27,87 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 82,27,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,27,87) = 1

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

GCF(82,27,87) x common factors =1 x 3 = 3

LCM(82,27,87) = ( 82 × 27 × 87 ) / 3

LCM(82,27,87) = 192618 / 3

LCM(82,27,87) = 64206


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 255/82, 391/27, 323/87

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 255/82, 391/27, 323/87?

Answer: GCF of Numerators as per given numbers 255/82, 391/27, 323/87 is

GCF of Numerators i.e. for 255,391,323 is 17

LCM of denominators i.e. for 82,27,87 is 64206.

Thus, GCF of Fractions is 17/64206.Finally, GCF of Fractions for 255/82, 391/27, 323/87 is 17/64206.