Greatest Common Factor of 9900/69, 3603/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9900/69, 3603/198

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 9900/69,3603/198

Given fractions are 9900/69,3603/198

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 9900,3603

Greatest Common Factor of Numerators i.e. GCF of 9900,3603 is 3 .

LCM of Denominators means LCM of 69,198 as per the given fractions.

LCM of 69,198 is 4554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9900,3603

GCF of Fractions 9900/69,3603/198 is 3/4554

3 9900, 3603
3300, 1201

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

Greatest Common Factor of 9900,3603 By Matching Biggest Common Factor Method

Greatest Common Factor of 9900,3603 By Matching Biggest Common Factor Method

Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900

Factors of 3603

List of positive integer factors of 3603 that divides 3603 without a remainder.

1,3,1201,3603

Greatest Common Factor

We found the factors 9900,3603 . The biggest common factor number is the GCF number.
So the greatest common factor 9900,3603 is 3.

Lets's calculate LCM of 69,198

3 69, 198
23, 66

∴ So the LCM of the given numbers is 3 x 23 x 66 = 4554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4554

Therefore, the GCF of Fractions 9900/69,3603/198 is 3/4554

Least Common Multiple of 69,198 with GCF Formula

Least Common Multiple of 69,198 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 69,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,198) = 3

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

GCF(69,198) x common factors =3 x 1 = 3

LCM(69,198) = ( 69 × 198 ) / 3

LCM(69,198) = 13662 / 3

LCM(69,198) = 4554


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 9900/69, 3603/198

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 9900/69, 3603/198?

Answer: GCF of Numerators as per given numbers 9900/69, 3603/198 is

GCF of Numerators i.e. for 9900,3603 is 3

LCM of denominators i.e. for 69,198 is 4554.

Thus, GCF of Fractions is 3/4554.Finally, GCF of Fractions for 9900/69, 3603/198 is 3/4554.