Greatest Common Factor of 6003/38, 9683/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6003/38, 9683/794

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 6003/38,9683/794

Given fractions are 6003/38,9683/794

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 6003,9683

Greatest Common Factor of Numerators i.e. GCF of 6003,9683 is 23 .

LCM of Denominators means LCM of 38,794 as per the given fractions.

LCM of 38,794 is 15086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6003,9683

GCF of Fractions 6003/38,9683/794 is 23/15086

23 6003, 9683
261, 421

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 6003,9683 By Matching Biggest Common Factor Method

Greatest Common Factor of 6003,9683 By Matching Biggest Common Factor Method

Factors of 6003

List of positive integer factors of 6003 that divides 6003 without a remainder.

1,3,9,23,29,69,87,207,261,667,2001,6003

Factors of 9683

List of positive integer factors of 9683 that divides 9683 without a remainder.

1,23,421,9683

Greatest Common Factor

We found the factors 6003,9683 . The biggest common factor number is the GCF number.
So the greatest common factor 6003,9683 is 23.

Lets's calculate LCM of 38,794

2 38, 794
19, 397

∴ So the LCM of the given numbers is 2 x 19 x 397 = 15086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/15086

Therefore, the GCF of Fractions 6003/38,9683/794 is 23/15086

Least Common Multiple of 38,794 with GCF Formula

Least Common Multiple of 38,794 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 38,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,794) = 2

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

GCF(38,794) x common factors =2 x 1 = 2

LCM(38,794) = ( 38 × 794 ) / 2

LCM(38,794) = 30172 / 2

LCM(38,794) = 15086


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 6003/38, 9683/794

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 6003/38, 9683/794?

Answer: GCF of Numerators as per given numbers 6003/38, 9683/794 is

GCF of Numerators i.e. for 6003,9683 is 23

LCM of denominators i.e. for 38,794 is 15086.

Thus, GCF of Fractions is 23/15086.Finally, GCF of Fractions for 6003/38, 9683/794 is 23/15086.