GCD of 806, 362, 696 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 806, 362, 696 i.e. 2 largest integer that divides all the numbers equally.

GCD of 806, 362, 696 is 2

GCD(806, 362, 696) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 806, 362, 696 is 2

GCD(806, 362, 696) = 2

GCD of 806,362,696 Calculator

GCDof 806,362,696 is 2

Given Input numbers are 806, 362, 696

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 806

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

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 806, 362, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 362, 696 is 2.

Therefore, GCD of numbers 806, 362, 696 is 2

Finding GCD of 806, 362, 696 using Prime Factorization

Given Input Data is 806, 362, 696

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 362 is 2 x 181

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 806, 362, 696 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(806, 362) = 145886

GCD(806, 362) = ( 806 x 362 ) / 145886

GCD(806, 362) = 291772 / 145886

GCD(806, 362) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 806, 362, 696 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 806, 362, 696

1. What is the GCD of 806, 362, 696?

GCD of 806, 362, 696 is 2


2. Where do I get the detailed procedure to find GCD of 806, 362, 696?

You can find a detailed procedure to find GCD of 806, 362, 696 on our page.


3. How to find GCD of 806, 362, 696 on a calculator?

You can find the GCD of 806, 362, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.