Greatest Common Factor of 82/27, 36/211, 255/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/27, 36/211, 255/731

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 82/27,36/211,255/731

Given fractions are 82/27,36/211,255/731

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 82,36,255

Greatest Common Factor of Numerators i.e. GCF of 82,36,255 is 1 .

LCM of Denominators means LCM of 27,211,731 as per the given fractions.

LCM of 27,211,731 is 4164507 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,36,255

GCF of Fractions 82/27,36/211,255/731 is 1/4164507

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

Greatest Common Factor of 82,36,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,36,255 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 255

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

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

Greatest Common Factor

We found the factors 82,36,255 . The biggest common factor number is the GCF number.
So the greatest common factor 82,36,255 is 1.

Lets's calculate LCM of 27,211,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 4164507

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4164507

Therefore, the GCF of Fractions 82/27,36/211,255/731 is 1/4164507

Least Common Multiple of 27,211,731 with GCF Formula

Least Common Multiple of 27,211,731 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 27,211,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,211,731) = 1

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

GCF(27,211,731) x common factors =1 x 1 = 1

LCM(27,211,731) = ( 27 × 211 × 731 ) / 1

LCM(27,211,731) = 4164507 / 1

LCM(27,211,731) = 4164507


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 82/27, 36/211, 255/731

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 82/27, 36/211, 255/731?

Answer: GCF of Numerators as per given numbers 82/27, 36/211, 255/731 is

GCF of Numerators i.e. for 82,36,255 is 1

LCM of denominators i.e. for 27,211,731 is 4164507.

Thus, GCF of Fractions is 1/4164507.Finally, GCF of Fractions for 82/27, 36/211, 255/731 is 1/4164507.