Greatest Common Factor of 198/133, 3531/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 198/133, 3531/303

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 198/133,3531/303

Given fractions are 198/133,3531/303

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 198,3531

Greatest Common Factor of Numerators i.e. GCF of 198,3531 is 33 .

LCM of Denominators means LCM of 133,303 as per the given fractions.

LCM of 133,303 is 40299 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 198,3531

GCF of Fractions 198/133,3531/303 is 33/40299

3 198, 3531
11 66, 1177
6, 107

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 198,3531 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,3531 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 3531

List of positive integer factors of 3531 that divides 3531 without a remainder.

1,3,11,33,107,321,1177,3531

Greatest Common Factor

We found the factors 198,3531 . The biggest common factor number is the GCF number.
So the greatest common factor 198,3531 is 33.

Lets's calculate LCM of 133,303

Given numbers has no common factors except 1. So, there LCM is their product i.e 40299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/40299

Therefore, the GCF of Fractions 198/133,3531/303 is 33/40299

Least Common Multiple of 133,303 with GCF Formula

Least Common Multiple of 133,303 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 133,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,303) = 1

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

GCF(133,303) x common factors =1 x 1 = 1

LCM(133,303) = ( 133 × 303 ) / 1

LCM(133,303) = 40299 / 1

LCM(133,303) = 40299


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 198/133, 3531/303

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 198/133, 3531/303?

Answer: GCF of Numerators as per given numbers 198/133, 3531/303 is

GCF of Numerators i.e. for 198,3531 is 33

LCM of denominators i.e. for 133,303 is 40299.

Thus, GCF of Fractions is 33/40299.Finally, GCF of Fractions for 198/133, 3531/303 is 33/40299.