Greatest Common Factor of 5847/806, 3613/5142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5847/806, 3613/5142

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 5847/806,3613/5142

Given fractions are 5847/806,3613/5142

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 5847,3613

Greatest Common Factor of Numerators i.e. GCF of 5847,3613 is 1 .

LCM of Denominators means LCM of 806,5142 as per the given fractions.

LCM of 806,5142 is 2072226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5847,3613

GCF of Fractions 5847/806,3613/5142 is 1/2072226

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

Greatest Common Factor of 5847,3613 By Matching Biggest Common Factor Method

Greatest Common Factor of 5847,3613 By Matching Biggest Common Factor Method

Factors of 5847

List of positive integer factors of 5847 that divides 5847 without a remainder.

1,3,1949,5847

Factors of 3613

List of positive integer factors of 3613 that divides 3613 without a remainder.

1,3613

Greatest Common Factor

We found the factors 5847,3613 . The biggest common factor number is the GCF number.
So the greatest common factor 5847,3613 is 1.

Lets's calculate LCM of 806,5142

2 806, 5142
403, 2571

∴ So the LCM of the given numbers is 2 x 403 x 2571 = 2072226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2072226

Therefore, the GCF of Fractions 5847/806,3613/5142 is 1/2072226

Least Common Multiple of 806,5142 with GCF Formula

Least Common Multiple of 806,5142 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 806,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,5142) = 2

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

GCF(806,5142) x common factors =2 x 1 = 2

LCM(806,5142) = ( 806 × 5142 ) / 2

LCM(806,5142) = 4144452 / 2

LCM(806,5142) = 2072226


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 5847/806, 3613/5142

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 5847/806, 3613/5142?

Answer: GCF of Numerators as per given numbers 5847/806, 3613/5142 is

GCF of Numerators i.e. for 5847,3613 is 1

LCM of denominators i.e. for 806,5142 is 2072226.

Thus, GCF of Fractions is 1/2072226.Finally, GCF of Fractions for 5847/806, 3613/5142 is 1/2072226.