Greatest Common Factor of 6381/424, 3339/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6381/424, 3339/368

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 6381/424,3339/368

Given fractions are 6381/424,3339/368

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 6381,3339

Greatest Common Factor of Numerators i.e. GCF of 6381,3339 is 9 .

LCM of Denominators means LCM of 424,368 as per the given fractions.

LCM of 424,368 is 19504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6381,3339

GCF of Fractions 6381/424,3339/368 is 9/19504

3 6381, 3339
3 2127, 1113
709, 371

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 6381,3339 By Matching Biggest Common Factor Method

Greatest Common Factor of 6381,3339 By Matching Biggest Common Factor Method

Factors of 6381

List of positive integer factors of 6381 that divides 6381 without a remainder.

1,3,9,709,2127,6381

Factors of 3339

List of positive integer factors of 3339 that divides 3339 without a remainder.

1,3,7,9,21,53,63,159,371,477,1113,3339

Greatest Common Factor

We found the factors 6381,3339 . The biggest common factor number is the GCF number.
So the greatest common factor 6381,3339 is 9.

Lets's calculate LCM of 424,368

2 424, 368
2 212, 184
2 106, 92
53, 46

∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 46 = 19504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/19504

Therefore, the GCF of Fractions 6381/424,3339/368 is 9/19504

Least Common Multiple of 424,368 with GCF Formula

Least Common Multiple of 424,368 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 424,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,368) = 8

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

GCF(424,368) x common factors =8 x 1 = 8

LCM(424,368) = ( 424 × 368 ) / 8

LCM(424,368) = 156032 / 8

LCM(424,368) = 19504


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 6381/424, 3339/368

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 6381/424, 3339/368?

Answer: GCF of Numerators as per given numbers 6381/424, 3339/368 is

GCF of Numerators i.e. for 6381,3339 is 9

LCM of denominators i.e. for 424,368 is 19504.

Thus, GCF of Fractions is 9/19504.Finally, GCF of Fractions for 6381/424, 3339/368 is 9/19504.