Greatest Common Factor of 6002/686, 3733/5838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6002/686, 3733/5838

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 6002/686,3733/5838

Given fractions are 6002/686,3733/5838

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 6002,3733

Greatest Common Factor of Numerators i.e. GCF of 6002,3733 is 1 .

LCM of Denominators means LCM of 686,5838 as per the given fractions.

LCM of 686,5838 is 286062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6002,3733

GCF of Fractions 6002/686,3733/5838 is 1/286062

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

Greatest Common Factor of 6002,3733 By Matching Biggest Common Factor Method

Greatest Common Factor of 6002,3733 By Matching Biggest Common Factor Method

Factors of 6002

List of positive integer factors of 6002 that divides 6002 without a remainder.

1,2,3001,6002

Factors of 3733

List of positive integer factors of 3733 that divides 3733 without a remainder.

1,3733

Greatest Common Factor

We found the factors 6002,3733 . The biggest common factor number is the GCF number.
So the greatest common factor 6002,3733 is 1.

Lets's calculate LCM of 686,5838

2 686, 5838
7 343, 2919
49, 417

∴ So the LCM of the given numbers is 2 x 7 x 49 x 417 = 286062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286062

Therefore, the GCF of Fractions 6002/686,3733/5838 is 1/286062

Least Common Multiple of 686,5838 with GCF Formula

Least Common Multiple of 686,5838 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 686,5838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,5838) = 14

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

GCF(686,5838) x common factors =14 x 1 = 14

LCM(686,5838) = ( 686 × 5838 ) / 14

LCM(686,5838) = 4004868 / 14

LCM(686,5838) = 286062


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 6002/686, 3733/5838

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 6002/686, 3733/5838?

Answer: GCF of Numerators as per given numbers 6002/686, 3733/5838 is

GCF of Numerators i.e. for 6002,3733 is 1

LCM of denominators i.e. for 686,5838 is 286062.

Thus, GCF of Fractions is 1/286062.Finally, GCF of Fractions for 6002/686, 3733/5838 is 1/286062.