Greatest Common Factor of 7209/598, 6897/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7209/598, 6897/372

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 7209/598,6897/372

Given fractions are 7209/598,6897/372

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 7209,6897

Greatest Common Factor of Numerators i.e. GCF of 7209,6897 is 3 .

LCM of Denominators means LCM of 598,372 as per the given fractions.

LCM of 598,372 is 111228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7209,6897

GCF of Fractions 7209/598,6897/372 is 3/111228

3 7209, 6897
2403, 2299

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

Greatest Common Factor of 7209,6897 By Matching Biggest Common Factor Method

Greatest Common Factor of 7209,6897 By Matching Biggest Common Factor Method

Factors of 7209

List of positive integer factors of 7209 that divides 7209 without a remainder.

1,3,9,27,81,89,267,801,2403,7209

Factors of 6897

List of positive integer factors of 6897 that divides 6897 without a remainder.

1,3,11,19,33,57,121,209,363,627,2299,6897

Greatest Common Factor

We found the factors 7209,6897 . The biggest common factor number is the GCF number.
So the greatest common factor 7209,6897 is 3.

Lets's calculate LCM of 598,372

2 598, 372
299, 186

∴ So the LCM of the given numbers is 2 x 299 x 186 = 111228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111228

Therefore, the GCF of Fractions 7209/598,6897/372 is 3/111228

Least Common Multiple of 598,372 with GCF Formula

Least Common Multiple of 598,372 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 598,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,372) = 2

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

GCF(598,372) x common factors =2 x 1 = 2

LCM(598,372) = ( 598 × 372 ) / 2

LCM(598,372) = 222456 / 2

LCM(598,372) = 111228


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 7209/598, 6897/372

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 7209/598, 6897/372?

Answer: GCF of Numerators as per given numbers 7209/598, 6897/372 is

GCF of Numerators i.e. for 7209,6897 is 3

LCM of denominators i.e. for 598,372 is 111228.

Thus, GCF of Fractions is 3/111228.Finally, GCF of Fractions for 7209/598, 6897/372 is 3/111228.