Greatest Common Factor of 5933/997, 6122/1073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5933/997, 6122/1073

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 5933/997,6122/1073

Given fractions are 5933/997,6122/1073

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 5933,6122

Greatest Common Factor of Numerators i.e. GCF of 5933,6122 is 1 .

LCM of Denominators means LCM of 997,1073 as per the given fractions.

LCM of 997,1073 is 1069781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5933,6122

GCF of Fractions 5933/997,6122/1073 is 1/1069781

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

Greatest Common Factor of 5933,6122 By Matching Biggest Common Factor Method

Greatest Common Factor of 5933,6122 By Matching Biggest Common Factor Method

Factors of 5933

List of positive integer factors of 5933 that divides 5933 without a remainder.

1,17,349,5933

Factors of 6122

List of positive integer factors of 6122 that divides 6122 without a remainder.

1,2,3061,6122

Greatest Common Factor

We found the factors 5933,6122 . The biggest common factor number is the GCF number.
So the greatest common factor 5933,6122 is 1.

Lets's calculate LCM of 997,1073

Given numbers has no common factors except 1. So, there LCM is their product i.e 1069781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1069781

Therefore, the GCF of Fractions 5933/997,6122/1073 is 1/1069781

Least Common Multiple of 997,1073 with GCF Formula

Least Common Multiple of 997,1073 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 997,1073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,1073) = 1

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

GCF(997,1073) x common factors =1 x 1 = 1

LCM(997,1073) = ( 997 × 1073 ) / 1

LCM(997,1073) = 1069781 / 1

LCM(997,1073) = 1069781


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 5933/997, 6122/1073

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 5933/997, 6122/1073?

Answer: GCF of Numerators as per given numbers 5933/997, 6122/1073 is

GCF of Numerators i.e. for 5933,6122 is 1

LCM of denominators i.e. for 997,1073 is 1069781.

Thus, GCF of Fractions is 1/1069781.Finally, GCF of Fractions for 5933/997, 6122/1073 is 1/1069781.