Greatest Common Factor of 806/659, 2728/1036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 806/659, 2728/1036

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 806/659,2728/1036

Given fractions are 806/659,2728/1036

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 806,2728

Greatest Common Factor of Numerators i.e. GCF of 806,2728 is 62 .

LCM of Denominators means LCM of 659,1036 as per the given fractions.

LCM of 659,1036 is 682724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 806,2728

GCF of Fractions 806/659,2728/1036 is 62/682724

2 806, 2728
31 403, 1364
13, 44

∴ So the GCF of the given numbers is 2 x 31 = 62

Greatest Common Factor of 806,2728 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,2728 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 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

Greatest Common Factor

We found the factors 806,2728 . The biggest common factor number is the GCF number.
So the greatest common factor 806,2728 is 62.

Lets's calculate LCM of 659,1036

Given numbers has no common factors except 1. So, there LCM is their product i.e 682724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/682724

Therefore, the GCF of Fractions 806/659,2728/1036 is 62/682724

Least Common Multiple of 659,1036 with GCF Formula

Least Common Multiple of 659,1036 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 659,1036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,1036) = 1

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

GCF(659,1036) x common factors =1 x 1 = 1

LCM(659,1036) = ( 659 × 1036 ) / 1

LCM(659,1036) = 682724 / 1

LCM(659,1036) = 682724


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 806/659, 2728/1036

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 806/659, 2728/1036?

Answer: GCF of Numerators as per given numbers 806/659, 2728/1036 is

GCF of Numerators i.e. for 806,2728 is 62

LCM of denominators i.e. for 659,1036 is 682724.

Thus, GCF of Fractions is 62/682724.Finally, GCF of Fractions for 806/659, 2728/1036 is 62/682724.