Greatest Common Factor of 6003/36, 7984/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6003/36, 7984/604

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 6003/36,7984/604

Given fractions are 6003/36,7984/604

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 6003,7984

Greatest Common Factor of Numerators i.e. GCF of 6003,7984 is 1 .

LCM of Denominators means LCM of 36,604 as per the given fractions.

LCM of 36,604 is 5436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6003,7984

GCF of Fractions 6003/36,7984/604 is 1/5436

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

Greatest Common Factor of 6003,7984 By Matching Biggest Common Factor Method

Greatest Common Factor of 6003,7984 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 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1,2,4,8,16,499,998,1996,3992,7984

Greatest Common Factor

We found the factors 6003,7984 . The biggest common factor number is the GCF number.
So the greatest common factor 6003,7984 is 1.

Lets's calculate LCM of 36,604

2 36, 604
2 18, 302
9, 151

∴ So the LCM of the given numbers is 2 x 2 x 9 x 151 = 5436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5436

Therefore, the GCF of Fractions 6003/36,7984/604 is 1/5436

Least Common Multiple of 36,604 with GCF Formula

Least Common Multiple of 36,604 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 36,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,604) = 4

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

GCF(36,604) x common factors =4 x 1 = 4

LCM(36,604) = ( 36 × 604 ) / 4

LCM(36,604) = 21744 / 4

LCM(36,604) = 5436


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 6003/36, 7984/604

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 6003/36, 7984/604?

Answer: GCF of Numerators as per given numbers 6003/36, 7984/604 is

GCF of Numerators i.e. for 6003,7984 is 1

LCM of denominators i.e. for 36,604 is 5436.

Thus, GCF of Fractions is 1/5436.Finally, GCF of Fractions for 6003/36, 7984/604 is 1/5436.