Greatest Common Factor of 333/36, 744/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 333/36, 744/368

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 333/36,744/368

Given fractions are 333/36,744/368

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 333,744

Greatest Common Factor of Numerators i.e. GCF of 333,744 is 3 .

LCM of Denominators means LCM of 36,368 as per the given fractions.

LCM of 36,368 is 3312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 333,744

GCF of Fractions 333/36,744/368 is 3/3312

3 333, 744
111, 248

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

Greatest Common Factor of 333,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,744 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 333,744 . The biggest common factor number is the GCF number.
So the greatest common factor 333,744 is 3.

Lets's calculate LCM of 36,368

2 36, 368
2 18, 184
9, 92

∴ So the LCM of the given numbers is 2 x 2 x 9 x 92 = 3312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3312

Therefore, the GCF of Fractions 333/36,744/368 is 3/3312

Least Common Multiple of 36,368 with GCF Formula

Least Common Multiple of 36,368 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 36,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,368) = 4

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

GCF(36,368) x common factors =4 x 1 = 4

LCM(36,368) = ( 36 × 368 ) / 4

LCM(36,368) = 13248 / 4

LCM(36,368) = 3312


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 333/36, 744/368

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 333/36, 744/368?

Answer: GCF of Numerators as per given numbers 333/36, 744/368 is

GCF of Numerators i.e. for 333,744 is 3

LCM of denominators i.e. for 36,368 is 3312.

Thus, GCF of Fractions is 3/3312.Finally, GCF of Fractions for 333/36, 744/368 is 3/3312.