Greatest Common Factor of 3732/366, 5535/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3732/366, 5535/243

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 3732/366,5535/243

Given fractions are 3732/366,5535/243

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 3732,5535

Greatest Common Factor of Numerators i.e. GCF of 3732,5535 is 3 .

LCM of Denominators means LCM of 366,243 as per the given fractions.

LCM of 366,243 is 29646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3732,5535

GCF of Fractions 3732/366,5535/243 is 3/29646

3 3732, 5535
1244, 1845

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

Greatest Common Factor of 3732,5535 By Matching Biggest Common Factor Method

Greatest Common Factor of 3732,5535 By Matching Biggest Common Factor Method

Factors of 3732

List of positive integer factors of 3732 that divides 3732 without a remainder.

1,2,3,4,6,12,311,622,933,1244,1866,3732

Factors of 5535

List of positive integer factors of 5535 that divides 5535 without a remainder.

1,3,5,9,15,27,41,45,123,135,205,369,615,1107,1845,5535

Greatest Common Factor

We found the factors 3732,5535 . The biggest common factor number is the GCF number.
So the greatest common factor 3732,5535 is 3.

Lets's calculate LCM of 366,243

3 366, 243
122, 81

∴ So the LCM of the given numbers is 3 x 122 x 81 = 29646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29646

Therefore, the GCF of Fractions 3732/366,5535/243 is 3/29646

Least Common Multiple of 366,243 with GCF Formula

Least Common Multiple of 366,243 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 366,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,243) = 3

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

GCF(366,243) x common factors =3 x 1 = 3

LCM(366,243) = ( 366 × 243 ) / 3

LCM(366,243) = 88938 / 3

LCM(366,243) = 29646


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 3732/366, 5535/243

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 3732/366, 5535/243?

Answer: GCF of Numerators as per given numbers 3732/366, 5535/243 is

GCF of Numerators i.e. for 3732,5535 is 3

LCM of denominators i.e. for 366,243 is 29646.

Thus, GCF of Fractions is 3/29646.Finally, GCF of Fractions for 3732/366, 5535/243 is 3/29646.