GCD of 897, 405, 806, 365 Calculator

Given Input numbers are 897, 405, 806, 365

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 897, 405, 806, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 405, 806, 365 is 1.

Therefore, GCD of numbers 897, 405, 806, 365 is 1

Given Input Data is 897, 405, 806, 365

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 365 is 5 x 73

The above numbers do not have any common prime factor. So GCD is 1

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(897, 405) = 121095

GCD(897, 405) = ( 897 x 405 ) / 121095

GCD(897, 405) = 363285 / 121095

GCD(897, 405) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 806

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

LCM(3, 806) = 2418

GCD(3, 806) = ( 3 x 806 ) / 2418

GCD(3, 806) = 2418 / 2418

GCD(3, 806) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 897, 405, 806, 365 is 1

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1. What is the GCD of 897, 405, 806, 365?

GCD of 897, 405, 806, 365 is 1

2. Where do I get the detailed procedure to find GCD of 897, 405, 806, 365?

You can find a detailed procedure to find GCD of 897, 405, 806, 365 on our page.

3. How to find GCD of 897, 405, 806, 365 on a calculator?

You can find the GCD of 897, 405, 806, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.