Greatest Common Factor of 327/69, 9024/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 327/69, 9024/804

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 327/69,9024/804

Given fractions are 327/69,9024/804

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 327,9024

Greatest Common Factor of Numerators i.e. GCF of 327,9024 is 3 .

LCM of Denominators means LCM of 69,804 as per the given fractions.

LCM of 69,804 is 18492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 327,9024

GCF of Fractions 327/69,9024/804 is 3/18492

3 327, 9024
109, 3008

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

Greatest Common Factor of 327,9024 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,9024 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Greatest Common Factor

We found the factors 327,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 327,9024 is 3.

Lets's calculate LCM of 69,804

3 69, 804
23, 268

∴ So the LCM of the given numbers is 3 x 23 x 268 = 18492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18492

Therefore, the GCF of Fractions 327/69,9024/804 is 3/18492

Least Common Multiple of 69,804 with GCF Formula

Least Common Multiple of 69,804 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 69,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,804) = 3

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

GCF(69,804) x common factors =3 x 1 = 3

LCM(69,804) = ( 69 × 804 ) / 3

LCM(69,804) = 55476 / 3

LCM(69,804) = 18492


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 327/69, 9024/804

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 327/69, 9024/804?

Answer: GCF of Numerators as per given numbers 327/69, 9024/804 is

GCF of Numerators i.e. for 327,9024 is 3

LCM of denominators i.e. for 69,804 is 18492.

Thus, GCF of Fractions is 3/18492.Finally, GCF of Fractions for 327/69, 9024/804 is 3/18492.