Greatest Common Factor of 8994/330, 3324/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8994/330, 3324/471

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 8994/330,3324/471

Given fractions are 8994/330,3324/471

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 8994,3324

Greatest Common Factor of Numerators i.e. GCF of 8994,3324 is 6 .

LCM of Denominators means LCM of 330,471 as per the given fractions.

LCM of 330,471 is 51810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8994,3324

GCF of Fractions 8994/330,3324/471 is 6/51810

2 8994, 3324
3 4497, 1662
1499, 554

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8994,3324 By Matching Biggest Common Factor Method

Greatest Common Factor of 8994,3324 By Matching Biggest Common Factor Method

Factors of 8994

List of positive integer factors of 8994 that divides 8994 without a remainder.

1,2,3,6,1499,2998,4497,8994

Factors of 3324

List of positive integer factors of 3324 that divides 3324 without a remainder.

1,2,3,4,6,12,277,554,831,1108,1662,3324

Greatest Common Factor

We found the factors 8994,3324 . The biggest common factor number is the GCF number.
So the greatest common factor 8994,3324 is 6.

Lets's calculate LCM of 330,471

3 330, 471
110, 157

∴ So the LCM of the given numbers is 3 x 110 x 157 = 51810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/51810

Therefore, the GCF of Fractions 8994/330,3324/471 is 6/51810

Least Common Multiple of 330,471 with GCF Formula

Least Common Multiple of 330,471 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 330,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,471) = 3

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

GCF(330,471) x common factors =3 x 1 = 3

LCM(330,471) = ( 330 × 471 ) / 3

LCM(330,471) = 155430 / 3

LCM(330,471) = 51810


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 8994/330, 3324/471

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 8994/330, 3324/471?

Answer: GCF of Numerators as per given numbers 8994/330, 3324/471 is

GCF of Numerators i.e. for 8994,3324 is 6

LCM of denominators i.e. for 330,471 is 51810.

Thus, GCF of Fractions is 6/51810.Finally, GCF of Fractions for 8994/330, 3324/471 is 6/51810.