Greatest Common Factor of 9444/324, 1209/7647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9444/324, 1209/7647

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 9444/324,1209/7647

Given fractions are 9444/324,1209/7647

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 9444,1209

Greatest Common Factor of Numerators i.e. GCF of 9444,1209 is 3 .

LCM of Denominators means LCM of 324,7647 as per the given fractions.

LCM of 324,7647 is 825876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9444,1209

GCF of Fractions 9444/324,1209/7647 is 3/825876

3 9444, 1209
3148, 403

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

Greatest Common Factor of 9444,1209 By Matching Biggest Common Factor Method

Greatest Common Factor of 9444,1209 By Matching Biggest Common Factor Method

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1,2,3,4,6,12,787,1574,2361,3148,4722,9444

Factors of 1209

List of positive integer factors of 1209 that divides 1209 without a remainder.

1,3,13,31,39,93,403,1209

Greatest Common Factor

We found the factors 9444,1209 . The biggest common factor number is the GCF number.
So the greatest common factor 9444,1209 is 3.

Lets's calculate LCM of 324,7647

3 324, 7647
108, 2549

∴ So the LCM of the given numbers is 3 x 108 x 2549 = 825876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/825876

Therefore, the GCF of Fractions 9444/324,1209/7647 is 3/825876

Least Common Multiple of 324,7647 with GCF Formula

Least Common Multiple of 324,7647 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 324,7647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,7647) = 3

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

GCF(324,7647) x common factors =3 x 1 = 3

LCM(324,7647) = ( 324 × 7647 ) / 3

LCM(324,7647) = 2477628 / 3

LCM(324,7647) = 825876


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 9444/324, 1209/7647

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 9444/324, 1209/7647?

Answer: GCF of Numerators as per given numbers 9444/324, 1209/7647 is

GCF of Numerators i.e. for 9444,1209 is 3

LCM of denominators i.e. for 324,7647 is 825876.

Thus, GCF of Fractions is 3/825876.Finally, GCF of Fractions for 9444/324, 1209/7647 is 3/825876.