Greatest Common Factor of 805/594, 6831/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/594, 6831/162

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 805/594,6831/162

Given fractions are 805/594,6831/162

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 805,6831

Greatest Common Factor of Numerators i.e. GCF of 805,6831 is 23 .

LCM of Denominators means LCM of 594,162 as per the given fractions.

LCM of 594,162 is 1782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,6831

GCF of Fractions 805/594,6831/162 is 23/1782

23 805, 6831
35, 297

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 805,6831 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,6831 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 6831

List of positive integer factors of 6831 that divides 6831 without a remainder.

1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831

Greatest Common Factor

We found the factors 805,6831 . The biggest common factor number is the GCF number.
So the greatest common factor 805,6831 is 23.

Lets's calculate LCM of 594,162

2 594, 162
3 297, 81
3 99, 27
3 33, 9
11, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 11 x 3 = 1782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/1782

Therefore, the GCF of Fractions 805/594,6831/162 is 23/1782

Least Common Multiple of 594,162 with GCF Formula

Least Common Multiple of 594,162 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 594,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,162) = 54

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

GCF(594,162) x common factors =54 x 1 = 54

LCM(594,162) = ( 594 × 162 ) / 54

LCM(594,162) = 96228 / 54

LCM(594,162) = 1782


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 805/594, 6831/162

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 805/594, 6831/162?

Answer: GCF of Numerators as per given numbers 805/594, 6831/162 is

GCF of Numerators i.e. for 805,6831 is 23

LCM of denominators i.e. for 594,162 is 1782.

Thus, GCF of Fractions is 23/1782.Finally, GCF of Fractions for 805/594, 6831/162 is 23/1782.