Greatest Common Factor of 3083/996, 5868/6093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3083/996, 5868/6093

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 3083/996,5868/6093

Given fractions are 3083/996,5868/6093

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 3083,5868

Greatest Common Factor of Numerators i.e. GCF of 3083,5868 is 1 .

LCM of Denominators means LCM of 996,6093 as per the given fractions.

LCM of 996,6093 is 2022876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3083,5868

GCF of Fractions 3083/996,5868/6093 is 1/2022876

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3083,5868 By Matching Biggest Common Factor Method

Greatest Common Factor of 3083,5868 By Matching Biggest Common Factor Method

Factors of 3083

List of positive integer factors of 3083 that divides 3083 without a remainder.

1,3083

Factors of 5868

List of positive integer factors of 5868 that divides 5868 without a remainder.

1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868

Greatest Common Factor

We found the factors 3083,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 3083,5868 is 1.

Lets's calculate LCM of 996,6093

3 996, 6093
332, 2031

∴ So the LCM of the given numbers is 3 x 332 x 2031 = 2022876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2022876

Therefore, the GCF of Fractions 3083/996,5868/6093 is 1/2022876

Least Common Multiple of 996,6093 with GCF Formula

Least Common Multiple of 996,6093 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 996,6093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,6093) = 3

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

GCF(996,6093) x common factors =3 x 1 = 3

LCM(996,6093) = ( 996 × 6093 ) / 3

LCM(996,6093) = 6068628 / 3

LCM(996,6093) = 2022876


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 3083/996, 5868/6093

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 3083/996, 5868/6093?

Answer: GCF of Numerators as per given numbers 3083/996, 5868/6093 is

GCF of Numerators i.e. for 3083,5868 is 1

LCM of denominators i.e. for 996,6093 is 2022876.

Thus, GCF of Fractions is 1/2022876.Finally, GCF of Fractions for 3083/996, 5868/6093 is 1/2022876.