Greatest Common Factor of 4392/33, 8331/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4392/33, 8331/308

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 4392/33,8331/308

Given fractions are 4392/33,8331/308

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 4392,8331

Greatest Common Factor of Numerators i.e. GCF of 4392,8331 is 3 .

LCM of Denominators means LCM of 33,308 as per the given fractions.

LCM of 33,308 is 924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4392,8331

GCF of Fractions 4392/33,8331/308 is 3/924

3 4392, 8331
1464, 2777

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

Greatest Common Factor of 4392,8331 By Matching Biggest Common Factor Method

Greatest Common Factor of 4392,8331 By Matching Biggest Common Factor Method

Factors of 4392

List of positive integer factors of 4392 that divides 4392 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392

Factors of 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1,3,2777,8331

Greatest Common Factor

We found the factors 4392,8331 . The biggest common factor number is the GCF number.
So the greatest common factor 4392,8331 is 3.

Lets's calculate LCM of 33,308

11 33, 308
3, 28

∴ So the LCM of the given numbers is 11 x 3 x 28 = 924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/924

Therefore, the GCF of Fractions 4392/33,8331/308 is 3/924

Least Common Multiple of 33,308 with GCF Formula

Least Common Multiple of 33,308 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 33,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,308) = 11

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

GCF(33,308) x common factors =11 x 1 = 11

LCM(33,308) = ( 33 × 308 ) / 11

LCM(33,308) = 10164 / 11

LCM(33,308) = 924


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 4392/33, 8331/308

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 4392/33, 8331/308?

Answer: GCF of Numerators as per given numbers 4392/33, 8331/308 is

GCF of Numerators i.e. for 4392,8331 is 3

LCM of denominators i.e. for 33,308 is 924.

Thus, GCF of Fractions is 3/924.Finally, GCF of Fractions for 4392/33, 8331/308 is 3/924.