Greatest Common Factor of 1509/12, 1584/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1509/12, 1584/444

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 1509/12,1584/444

Given fractions are 1509/12,1584/444

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 1509,1584

Greatest Common Factor of Numerators i.e. GCF of 1509,1584 is 3 .

LCM of Denominators means LCM of 12,444 as per the given fractions.

LCM of 12,444 is 444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1509,1584

GCF of Fractions 1509/12,1584/444 is 3/444

3 1509, 1584
503, 528

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

Greatest Common Factor of 1509,1584 By Matching Biggest Common Factor Method

Greatest Common Factor of 1509,1584 By Matching Biggest Common Factor Method

Factors of 1509

List of positive integer factors of 1509 that divides 1509 without a remainder.

1,3,503,1509

Factors of 1584

List of positive integer factors of 1584 that divides 1584 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584

Greatest Common Factor

We found the factors 1509,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 1509,1584 is 3.

Lets's calculate LCM of 12,444

2 12, 444
2 6, 222
3 3, 111
1, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 37 = 444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/444

Therefore, the GCF of Fractions 1509/12,1584/444 is 3/444

Least Common Multiple of 12,444 with GCF Formula

Least Common Multiple of 12,444 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 12,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,444) = 12

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

GCF(12,444) x common factors =12 x 1 = 12

LCM(12,444) = ( 12 × 444 ) / 12

LCM(12,444) = 5328 / 12

LCM(12,444) = 444


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 1509/12, 1584/444

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 1509/12, 1584/444?

Answer: GCF of Numerators as per given numbers 1509/12, 1584/444 is

GCF of Numerators i.e. for 1509,1584 is 3

LCM of denominators i.e. for 12,444 is 444.

Thus, GCF of Fractions is 3/444.Finally, GCF of Fractions for 1509/12, 1584/444 is 3/444.