Greatest Common Factor of 9831/404, 9831/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9831/404, 9831/847

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 9831/404,9831/847

Given fractions are 9831/404,9831/847

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 9831,9831

Greatest Common Factor of Numerators i.e. GCF of 9831,9831 is 9831 .

LCM of Denominators means LCM of 404,847 as per the given fractions.

LCM of 404,847 is 342188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9831,9831

GCF of Fractions 9831/404,9831/847 is 9831/342188

3 9831, 9831
29 3277, 3277
113 113, 113
1, 1

∴ So the GCF of the given numbers is 3 x 29 x 113 = 9831

Greatest Common Factor of 9831,9831 By Matching Biggest Common Factor Method

Greatest Common Factor of 9831,9831 By Matching Biggest Common Factor Method

Factors of 9831

List of positive integer factors of 9831 that divides 9831 without a remainder.

1,3,29,87,113,339,3277,9831

Factors of 9831

List of positive integer factors of 9831 that divides 9831 without a remainder.

1,3,29,87,113,339,3277,9831

Greatest Common Factor

We found the factors 9831,9831 . The biggest common factor number is the GCF number.
So the greatest common factor 9831,9831 is 9831.

Lets's calculate LCM of 404,847

Given numbers has no common factors except 1. So, there LCM is their product i.e 342188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9831/342188

Therefore, the GCF of Fractions 9831/404,9831/847 is 9831/342188

Least Common Multiple of 404,847 with GCF Formula

Least Common Multiple of 404,847 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 404,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,847) = 1

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

GCF(404,847) x common factors =1 x 1 = 1

LCM(404,847) = ( 404 × 847 ) / 1

LCM(404,847) = 342188 / 1

LCM(404,847) = 342188


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 9831/404, 9831/847

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 9831/404, 9831/847?

Answer: GCF of Numerators as per given numbers 9831/404, 9831/847 is

GCF of Numerators i.e. for 9831,9831 is 9831

LCM of denominators i.e. for 404,847 is 342188.

Thus, GCF of Fractions is 9831/342188.Finally, GCF of Fractions for 9831/404, 9831/847 is 9831/342188.