Greatest Common Factor of 288/12, 504/6567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/12, 504/6567

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 288/12,504/6567

Given fractions are 288/12,504/6567

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 288,504

Greatest Common Factor of Numerators i.e. GCF of 288,504 is 72 .

LCM of Denominators means LCM of 12,6567 as per the given fractions.

LCM of 12,6567 is 26268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,504

GCF of Fractions 288/12,504/6567 is 72/26268

2 288, 504
2 144, 252
2 72, 126
3 36, 63
3 12, 21
4, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72

Greatest Common Factor of 288,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,504 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

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

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 288,504 . The biggest common factor number is the GCF number.
So the greatest common factor 288,504 is 72.

Lets's calculate LCM of 12,6567

3 12, 6567
4, 2189

∴ So the LCM of the given numbers is 3 x 4 x 2189 = 26268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/26268

Therefore, the GCF of Fractions 288/12,504/6567 is 72/26268

Least Common Multiple of 12,6567 with GCF Formula

Least Common Multiple of 12,6567 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 12,6567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,6567) = 3

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

GCF(12,6567) x common factors =3 x 1 = 3

LCM(12,6567) = ( 12 × 6567 ) / 3

LCM(12,6567) = 78804 / 3

LCM(12,6567) = 26268


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 288/12, 504/6567

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 288/12, 504/6567?

Answer: GCF of Numerators as per given numbers 288/12, 504/6567 is

GCF of Numerators i.e. for 288,504 is 72

LCM of denominators i.e. for 12,6567 is 26268.

Thus, GCF of Fractions is 72/26268.Finally, GCF of Fractions for 288/12, 504/6567 is 72/26268.