Greatest Common Factor of 806/1798, 966/3156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 806/1798, 966/3156

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 806/1798,966/3156

Given fractions are 806/1798,966/3156

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 806,966

Greatest Common Factor of Numerators i.e. GCF of 806,966 is 2 .

LCM of Denominators means LCM of 1798,3156 as per the given fractions.

LCM of 1798,3156 is 2837244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 806,966

GCF of Fractions 806/1798,966/3156 is 2/2837244

2 806, 966
403, 483

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 806,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,966 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 806,966 . The biggest common factor number is the GCF number.
So the greatest common factor 806,966 is 2.

Lets's calculate LCM of 1798,3156

2 1798, 3156
899, 1578

∴ So the LCM of the given numbers is 2 x 899 x 1578 = 2837244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2837244

Therefore, the GCF of Fractions 806/1798,966/3156 is 2/2837244

Least Common Multiple of 1798,3156 with GCF Formula

Least Common Multiple of 1798,3156 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 1798,3156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1798,3156) = 2

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

GCF(1798,3156) x common factors =2 x 1 = 2

LCM(1798,3156) = ( 1798 × 3156 ) / 2

LCM(1798,3156) = 5674488 / 2

LCM(1798,3156) = 2837244


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 806/1798, 966/3156

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 806/1798, 966/3156?

Answer: GCF of Numerators as per given numbers 806/1798, 966/3156 is

GCF of Numerators i.e. for 806,966 is 2

LCM of denominators i.e. for 1798,3156 is 2837244.

Thus, GCF of Fractions is 2/2837244.Finally, GCF of Fractions for 806/1798, 966/3156 is 2/2837244.