Greatest Common Factor of 8398/27, 9195/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8398/27, 9195/843

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 8398/27,9195/843

Given fractions are 8398/27,9195/843

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 8398,9195

Greatest Common Factor of Numerators i.e. GCF of 8398,9195 is 1 .

LCM of Denominators means LCM of 27,843 as per the given fractions.

LCM of 27,843 is 7587 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8398,9195

GCF of Fractions 8398/27,9195/843 is 1/7587

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

Greatest Common Factor of 8398,9195 By Matching Biggest Common Factor Method

Greatest Common Factor of 8398,9195 By Matching Biggest Common Factor Method

Factors of 8398

List of positive integer factors of 8398 that divides 8398 without a remainder.

1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398

Factors of 9195

List of positive integer factors of 9195 that divides 9195 without a remainder.

1,3,5,15,613,1839,3065,9195

Greatest Common Factor

We found the factors 8398,9195 . The biggest common factor number is the GCF number.
So the greatest common factor 8398,9195 is 1.

Lets's calculate LCM of 27,843

3 27, 843
9, 281

∴ So the LCM of the given numbers is 3 x 9 x 281 = 7587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7587

Therefore, the GCF of Fractions 8398/27,9195/843 is 1/7587

Least Common Multiple of 27,843 with GCF Formula

Least Common Multiple of 27,843 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 27,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,843) = 3

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

GCF(27,843) x common factors =3 x 1 = 3

LCM(27,843) = ( 27 × 843 ) / 3

LCM(27,843) = 22761 / 3

LCM(27,843) = 7587


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 8398/27, 9195/843

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 8398/27, 9195/843?

Answer: GCF of Numerators as per given numbers 8398/27, 9195/843 is

GCF of Numerators i.e. for 8398,9195 is 1

LCM of denominators i.e. for 27,843 is 7587.

Thus, GCF of Fractions is 1/7587.Finally, GCF of Fractions for 8398/27, 9195/843 is 1/7587.