Greatest Common Factor of 27/31, 90/51, 900/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/31, 90/51, 900/408

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 27/31,90/51,900/408

Given fractions are 27/31,90/51,900/408

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 27,90,900

Greatest Common Factor of Numerators i.e. GCF of 27,90,900 is 9 .

LCM of Denominators means LCM of 31,51,408 as per the given fractions.

LCM of 31,51,408 is 12648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,90,900

GCF of Fractions 27/31,90/51,900/408 is 9/12648

3 27, 90, 900
3 9, 30, 300
3, 10, 100

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 27,90,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,90,900 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 27,90,900 . The biggest common factor number is the GCF number.
So the greatest common factor 27,90,900 is 9.

Lets's calculate LCM of 31,51,408

3 31, 51, 408
17 31, 17, 136
31, 1, 8

∴ So the LCM of the given numbers is 3 x 17 x 31 x 1 x 8 = 12648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/12648

Therefore, the GCF of Fractions 27/31,90/51,900/408 is 9/12648

Least Common Multiple of 31,51,408 with GCF Formula

Least Common Multiple of 31,51,408 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 31,51,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,51,408) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(31,51,408) x common factors =1 x 51 = 51

LCM(31,51,408) = ( 31 × 51 × 408 ) / 51

LCM(31,51,408) = 645048 / 51

LCM(31,51,408) = 12648


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 27/31, 90/51, 900/408

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 27/31, 90/51, 900/408?

Answer: GCF of Numerators as per given numbers 27/31, 90/51, 900/408 is

GCF of Numerators i.e. for 27,90,900 is 9

LCM of denominators i.e. for 31,51,408 is 12648.

Thus, GCF of Fractions is 9/12648.Finally, GCF of Fractions for 27/31, 90/51, 900/408 is 9/12648.