Greatest Common Factor of 27/479, 795/489, 959/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/479, 795/489, 959/408

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 27/479,795/489,959/408

Given fractions are 27/479,795/489,959/408

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 27,795,959

Greatest Common Factor of Numerators i.e. GCF of 27,795,959 is 1 .

LCM of Denominators means LCM of 479,489,408 as per the given fractions.

LCM of 479,489,408 is 31855416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,795,959

GCF of Fractions 27/479,795/489,959/408 is 1/31855416

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

Greatest Common Factor of 27,795,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,795,959 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 27,795,959 . The biggest common factor number is the GCF number.
So the greatest common factor 27,795,959 is 1.

Lets's calculate LCM of 479,489,408

3 479, 489, 408
479, 163, 136

∴ So the LCM of the given numbers is 3 x 479 x 163 x 136 = 31855416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31855416

Therefore, the GCF of Fractions 27/479,795/489,959/408 is 1/31855416

Least Common Multiple of 479,489,408 with GCF Formula

Least Common Multiple of 479,489,408 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 479,489,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,489,408) = 1

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

GCF(479,489,408) x common factors =1 x 3 = 3

LCM(479,489,408) = ( 479 × 489 × 408 ) / 3

LCM(479,489,408) = 95566248 / 3

LCM(479,489,408) = 31855416


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 27/479, 795/489, 959/408

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 27/479, 795/489, 959/408?

Answer: GCF of Numerators as per given numbers 27/479, 795/489, 959/408 is

GCF of Numerators i.e. for 27,795,959 is 1

LCM of denominators i.e. for 479,489,408 is 31855416.

Thus, GCF of Fractions is 1/31855416.Finally, GCF of Fractions for 27/479, 795/489, 959/408 is 1/31855416.