Greatest Common Factor of 3243/399, 7788/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3243/399, 7788/339

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 3243/399,7788/339

Given fractions are 3243/399,7788/339

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 3243,7788

Greatest Common Factor of Numerators i.e. GCF of 3243,7788 is 3 .

LCM of Denominators means LCM of 399,339 as per the given fractions.

LCM of 399,339 is 45087 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3243,7788

GCF of Fractions 3243/399,7788/339 is 3/45087

3 3243, 7788
1081, 2596

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

Greatest Common Factor of 3243,7788 By Matching Biggest Common Factor Method

Greatest Common Factor of 3243,7788 By Matching Biggest Common Factor Method

Factors of 3243

List of positive integer factors of 3243 that divides 3243 without a remainder.

1,3,23,47,69,141,1081,3243

Factors of 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788

Greatest Common Factor

We found the factors 3243,7788 . The biggest common factor number is the GCF number.
So the greatest common factor 3243,7788 is 3.

Lets's calculate LCM of 399,339

3 399, 339
133, 113

∴ So the LCM of the given numbers is 3 x 133 x 113 = 45087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45087

Therefore, the GCF of Fractions 3243/399,7788/339 is 3/45087

Least Common Multiple of 399,339 with GCF Formula

Least Common Multiple of 399,339 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 399,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,339) = 3

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

GCF(399,339) x common factors =3 x 1 = 3

LCM(399,339) = ( 399 × 339 ) / 3

LCM(399,339) = 135261 / 3

LCM(399,339) = 45087


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 3243/399, 7788/339

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 3243/399, 7788/339?

Answer: GCF of Numerators as per given numbers 3243/399, 7788/339 is

GCF of Numerators i.e. for 3243,7788 is 3

LCM of denominators i.e. for 399,339 is 45087.

Thus, GCF of Fractions is 3/45087.Finally, GCF of Fractions for 3243/399, 7788/339 is 3/45087.