Greatest Common Factor of 9022/39, 3176/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9022/39, 3176/399

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 9022/39,3176/399

Given fractions are 9022/39,3176/399

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 9022,3176

Greatest Common Factor of Numerators i.e. GCF of 9022,3176 is 2 .

LCM of Denominators means LCM of 39,399 as per the given fractions.

LCM of 39,399 is 5187 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9022,3176

GCF of Fractions 9022/39,3176/399 is 2/5187

2 9022, 3176
4511, 1588

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9022,3176 By Matching Biggest Common Factor Method

Greatest Common Factor of 9022,3176 By Matching Biggest Common Factor Method

Factors of 9022

List of positive integer factors of 9022 that divides 9022 without a remainder.

1,2,13,26,347,694,4511,9022

Factors of 3176

List of positive integer factors of 3176 that divides 3176 without a remainder.

1,2,4,8,397,794,1588,3176

Greatest Common Factor

We found the factors 9022,3176 . The biggest common factor number is the GCF number.
So the greatest common factor 9022,3176 is 2.

Lets's calculate LCM of 39,399

3 39, 399
13, 133

∴ So the LCM of the given numbers is 3 x 13 x 133 = 5187

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5187

Therefore, the GCF of Fractions 9022/39,3176/399 is 2/5187

Least Common Multiple of 39,399 with GCF Formula

Least Common Multiple of 39,399 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 39,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,399) = 3

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

GCF(39,399) x common factors =3 x 1 = 3

LCM(39,399) = ( 39 × 399 ) / 3

LCM(39,399) = 15561 / 3

LCM(39,399) = 5187


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 9022/39, 3176/399

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 9022/39, 3176/399?

Answer: GCF of Numerators as per given numbers 9022/39, 3176/399 is

GCF of Numerators i.e. for 9022,3176 is 2

LCM of denominators i.e. for 39,399 is 5187.

Thus, GCF of Fractions is 2/5187.Finally, GCF of Fractions for 9022/39, 3176/399 is 2/5187.