Greatest Common Factor of 54/324, 87/765, 900/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 54/324, 87/765, 900/321

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 54/324,87/765,900/321

Given fractions are 54/324,87/765,900/321

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 54,87,900

Greatest Common Factor of Numerators i.e. GCF of 54,87,900 is 3 .

LCM of Denominators means LCM of 324,765,321 as per the given fractions.

LCM of 324,765,321 is 2946780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,87,900

GCF of Fractions 54/324,87/765,900/321 is 3/2946780

3 54, 87, 900
18, 29, 300

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

Greatest Common Factor of 54,87,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,87,900 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

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 54,87,900 . The biggest common factor number is the GCF number.
So the greatest common factor 54,87,900 is 3.


Lets's calculate LCM of 324,765,321

3 324, 765, 321
3 108, 255, 107
36, 85, 107

∴ So the LCM of the given numbers is 3 x 3 x 36 x 85 x 107 = 2946780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2946780

Therefore, the GCF of Fractions 54/324,87/765,900/321 is 3/2946780

Least Common Multiple of 324,765,321 with GCF Formula

Least Common Multiple of 324,765,321 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 324,765,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,765,321) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(324,765,321) x common factors =3 x 9 = 27

LCM(324,765,321) = ( 324 × 765 × 321 ) / 27

LCM(324,765,321) = 79563060 / 27

LCM(324,765,321) = 2946780


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 54/324, 87/765, 900/321

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 54/324, 87/765, 900/321?

Answer: GCF of Numerators as per given numbers 54/324, 87/765, 900/321 is

GCF of Numerators i.e. for 54,87,900 is 3

LCM of denominators i.e. for 324,765,321 is 2946780.

Thus, GCF of Fractions is 3/2946780.Finally, GCF of Fractions for 54/324, 87/765, 900/321 is 3/2946780.