Greatest Common Factor of 324/69, 864/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/69, 864/300

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 324/69,864/300

Given fractions are 324/69,864/300

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 324,864

Greatest Common Factor of Numerators i.e. GCF of 324,864 is 108 .

LCM of Denominators means LCM of 69,300 as per the given fractions.

LCM of 69,300 is 6900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,864

GCF of Fractions 324/69,864/300 is 108/6900

2 324, 864
2 162, 432
3 81, 216
3 27, 72
3 9, 24
3, 8

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108

Greatest Common Factor of 324,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,864 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 324,864 . The biggest common factor number is the GCF number.
So the greatest common factor 324,864 is 108.

Lets's calculate LCM of 69,300

3 69, 300
23, 100

∴ So the LCM of the given numbers is 3 x 23 x 100 = 6900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 108/6900

Therefore, the GCF of Fractions 324/69,864/300 is 108/6900

Least Common Multiple of 69,300 with GCF Formula

Least Common Multiple of 69,300 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 69,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,300) = 3

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

GCF(69,300) x common factors =3 x 1 = 3

LCM(69,300) = ( 69 × 300 ) / 3

LCM(69,300) = 20700 / 3

LCM(69,300) = 6900


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 324/69, 864/300

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 324/69, 864/300?

Answer: GCF of Numerators as per given numbers 324/69, 864/300 is

GCF of Numerators i.e. for 324,864 is 108

LCM of denominators i.e. for 69,300 is 6900.

Thus, GCF of Fractions is 108/6900.Finally, GCF of Fractions for 324/69, 864/300 is 108/6900.