Greatest Common Factor of 24/12, 72/82, 576/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/12, 72/82, 576/68

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 24/12,72/82,576/68

Given fractions are 24/12,72/82,576/68

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 24,72,576

Greatest Common Factor of Numerators i.e. GCF of 24,72,576 is 24 .

LCM of Denominators means LCM of 12,82,68 as per the given fractions.

LCM of 12,82,68 is 8364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,72,576

GCF of Fractions 24/12,72/82,576/68 is 24/8364

2 24, 72, 576
2 12, 36, 288
2 6, 18, 144
3 3, 9, 72
1, 3, 24

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 24,72,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,72,576 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 24,72,576 . The biggest common factor number is the GCF number.
So the greatest common factor 24,72,576 is 24.

Lets's calculate LCM of 12,82,68

2 12, 82, 68
2 6, 41, 34
3, 41, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 17 = 8364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/8364

Therefore, the GCF of Fractions 24/12,72/82,576/68 is 24/8364

Least Common Multiple of 12,82,68 with GCF Formula

Least Common Multiple of 12,82,68 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 12,82,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,82,68) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(12,82,68) x common factors =2 x 4 = 8

LCM(12,82,68) = ( 12 × 82 × 68 ) / 8

LCM(12,82,68) = 66912 / 8

LCM(12,82,68) = 8364


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 24/12, 72/82, 576/68

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 24/12, 72/82, 576/68?

Answer: GCF of Numerators as per given numbers 24/12, 72/82, 576/68 is

GCF of Numerators i.e. for 24,72,576 is 24

LCM of denominators i.e. for 12,82,68 is 8364.

Thus, GCF of Fractions is 24/8364.Finally, GCF of Fractions for 24/12, 72/82, 576/68 is 24/8364.