Greatest Common Factor of 9843/831, 6123/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9843/831, 6123/618

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 9843/831,6123/618

Given fractions are 9843/831,6123/618

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 9843,6123

Greatest Common Factor of Numerators i.e. GCF of 9843,6123 is 3 .

LCM of Denominators means LCM of 831,618 as per the given fractions.

LCM of 831,618 is 171186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9843,6123

GCF of Fractions 9843/831,6123/618 is 3/171186

3 9843, 6123
3281, 2041

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9843,6123 By Matching Biggest Common Factor Method

Greatest Common Factor of 9843,6123 By Matching Biggest Common Factor Method

Factors of 9843

List of positive integer factors of 9843 that divides 9843 without a remainder.

1,3,17,51,193,579,3281,9843

Factors of 6123

List of positive integer factors of 6123 that divides 6123 without a remainder.

1,3,13,39,157,471,2041,6123

Greatest Common Factor

We found the factors 9843,6123 . The biggest common factor number is the GCF number.
So the greatest common factor 9843,6123 is 3.

Lets's calculate LCM of 831,618

3 831, 618
277, 206

∴ So the LCM of the given numbers is 3 x 277 x 206 = 171186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/171186

Therefore, the GCF of Fractions 9843/831,6123/618 is 3/171186

Least Common Multiple of 831,618 with GCF Formula

Least Common Multiple of 831,618 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 831,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,618) = 3

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

GCF(831,618) x common factors =3 x 1 = 3

LCM(831,618) = ( 831 × 618 ) / 3

LCM(831,618) = 513558 / 3

LCM(831,618) = 171186


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 9843/831, 6123/618

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 9843/831, 6123/618?

Answer: GCF of Numerators as per given numbers 9843/831, 6123/618 is

GCF of Numerators i.e. for 9843,6123 is 3

LCM of denominators i.e. for 831,618 is 171186.

Thus, GCF of Fractions is 3/171186.Finally, GCF of Fractions for 9843/831, 6123/618 is 3/171186.