Greatest Common Factor of 9839/21, 8282/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9839/21, 8282/843

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 9839/21,8282/843

Given fractions are 9839/21,8282/843

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 9839,8282

Greatest Common Factor of Numerators i.e. GCF of 9839,8282 is 1 .

LCM of Denominators means LCM of 21,843 as per the given fractions.

LCM of 21,843 is 5901 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9839,8282

GCF of Fractions 9839/21,8282/843 is 1/5901

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

Greatest Common Factor of 9839,8282 By Matching Biggest Common Factor Method

Greatest Common Factor of 9839,8282 By Matching Biggest Common Factor Method

Factors of 9839

List of positive integer factors of 9839 that divides 9839 without a remainder.

1,9839

Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1,2,41,82,101,202,4141,8282

Greatest Common Factor

We found the factors 9839,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 9839,8282 is 1.

Lets's calculate LCM of 21,843

3 21, 843
7, 281

∴ So the LCM of the given numbers is 3 x 7 x 281 = 5901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5901

Therefore, the GCF of Fractions 9839/21,8282/843 is 1/5901

Least Common Multiple of 21,843 with GCF Formula

Least Common Multiple of 21,843 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 21,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,843) = 3

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

GCF(21,843) x common factors =3 x 1 = 3

LCM(21,843) = ( 21 × 843 ) / 3

LCM(21,843) = 17703 / 3

LCM(21,843) = 5901


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 9839/21, 8282/843

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 9839/21, 8282/843?

Answer: GCF of Numerators as per given numbers 9839/21, 8282/843 is

GCF of Numerators i.e. for 9839,8282 is 1

LCM of denominators i.e. for 21,843 is 5901.

Thus, GCF of Fractions is 1/5901.Finally, GCF of Fractions for 9839/21, 8282/843 is 1/5901.