Greatest Common Factor of 40/399, 9472/6123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/399, 9472/6123

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 40/399,9472/6123

Given fractions are 40/399,9472/6123

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 40,9472

Greatest Common Factor of Numerators i.e. GCF of 40,9472 is 8 .

LCM of Denominators means LCM of 399,6123 as per the given fractions.

LCM of 399,6123 is 814359 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,9472

GCF of Fractions 40/399,9472/6123 is 8/814359

2 40, 9472
2 20, 4736
2 10, 2368
5, 1184

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 40,9472 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,9472 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 9472

List of positive integer factors of 9472 that divides 9472 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472

Greatest Common Factor

We found the factors 40,9472 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9472 is 8.

Lets's calculate LCM of 399,6123

3 399, 6123
133, 2041

∴ So the LCM of the given numbers is 3 x 133 x 2041 = 814359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/814359

Therefore, the GCF of Fractions 40/399,9472/6123 is 8/814359

Least Common Multiple of 399,6123 with GCF Formula

Least Common Multiple of 399,6123 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 399,6123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,6123) = 3

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

GCF(399,6123) x common factors =3 x 1 = 3

LCM(399,6123) = ( 399 × 6123 ) / 3

LCM(399,6123) = 2443077 / 3

LCM(399,6123) = 814359


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 40/399, 9472/6123

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 40/399, 9472/6123?

Answer: GCF of Numerators as per given numbers 40/399, 9472/6123 is

GCF of Numerators i.e. for 40,9472 is 8

LCM of denominators i.e. for 399,6123 is 814359.

Thus, GCF of Fractions is 8/814359.Finally, GCF of Fractions for 40/399, 9472/6123 is 8/814359.