Greatest Common Factor of 7719/198, 8181/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7719/198, 8181/306

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 7719/198,8181/306

Given fractions are 7719/198,8181/306

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 7719,8181

Greatest Common Factor of Numerators i.e. GCF of 7719,8181 is 3 .

LCM of Denominators means LCM of 198,306 as per the given fractions.

LCM of 198,306 is 3366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7719,8181

GCF of Fractions 7719/198,8181/306 is 3/3366

3 7719, 8181
2573, 2727

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

Greatest Common Factor of 7719,8181 By Matching Biggest Common Factor Method

Greatest Common Factor of 7719,8181 By Matching Biggest Common Factor Method

Factors of 7719

List of positive integer factors of 7719 that divides 7719 without a remainder.

1,3,31,83,93,249,2573,7719

Factors of 8181

List of positive integer factors of 8181 that divides 8181 without a remainder.

1,3,9,27,81,101,303,909,2727,8181

Greatest Common Factor

We found the factors 7719,8181 . The biggest common factor number is the GCF number.
So the greatest common factor 7719,8181 is 3.

Lets's calculate LCM of 198,306

2 198, 306
3 99, 153
3 33, 51
11, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 17 = 3366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3366

Therefore, the GCF of Fractions 7719/198,8181/306 is 3/3366

Least Common Multiple of 198,306 with GCF Formula

Least Common Multiple of 198,306 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 198,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,306) = 18

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

GCF(198,306) x common factors =18 x 1 = 18

LCM(198,306) = ( 198 × 306 ) / 18

LCM(198,306) = 60588 / 18

LCM(198,306) = 3366


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 7719/198, 8181/306

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 7719/198, 8181/306?

Answer: GCF of Numerators as per given numbers 7719/198, 8181/306 is

GCF of Numerators i.e. for 7719,8181 is 3

LCM of denominators i.e. for 198,306 is 3366.

Thus, GCF of Fractions is 3/3366.Finally, GCF of Fractions for 7719/198, 8181/306 is 3/3366.