Greatest Common Factor of 3249/22, 2754/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3249/22, 2754/198

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 3249/22,2754/198

Given fractions are 3249/22,2754/198

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 3249,2754

Greatest Common Factor of Numerators i.e. GCF of 3249,2754 is 9 .

LCM of Denominators means LCM of 22,198 as per the given fractions.

LCM of 22,198 is 198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3249,2754

GCF of Fractions 3249/22,2754/198 is 9/198

3 3249, 2754
3 1083, 918
361, 306

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3249,2754 By Matching Biggest Common Factor Method

Greatest Common Factor of 3249,2754 By Matching Biggest Common Factor Method

Factors of 3249

List of positive integer factors of 3249 that divides 3249 without a remainder.

1,3,9,19,57,171,361,1083,3249

Factors of 2754

List of positive integer factors of 2754 that divides 2754 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754

Greatest Common Factor

We found the factors 3249,2754 . The biggest common factor number is the GCF number.
So the greatest common factor 3249,2754 is 9.

Lets's calculate LCM of 22,198

2 22, 198
11 11, 99
1, 9

∴ So the LCM of the given numbers is 2 x 11 x 1 x 9 = 198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/198

Therefore, the GCF of Fractions 3249/22,2754/198 is 9/198

Least Common Multiple of 22,198 with GCF Formula

Least Common Multiple of 22,198 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 22,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,198) = 22

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

GCF(22,198) x common factors =22 x 1 = 22

LCM(22,198) = ( 22 × 198 ) / 22

LCM(22,198) = 4356 / 22

LCM(22,198) = 198


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 3249/22, 2754/198

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 3249/22, 2754/198?

Answer: GCF of Numerators as per given numbers 3249/22, 2754/198 is

GCF of Numerators i.e. for 3249,2754 is 9

LCM of denominators i.e. for 22,198 is 198.

Thus, GCF of Fractions is 9/198.Finally, GCF of Fractions for 3249/22, 2754/198 is 9/198.