GCD of 588, 213, 23, 405 Calculator

Given Input numbers are 588, 213, 23, 405

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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

Greatest Common Divisior

We found the divisors of 588, 213, 23, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 213, 23, 405 is 1.

Therefore, GCD of numbers 588, 213, 23, 405 is 1

Given Input Data is 588, 213, 23, 405

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 213 is 3 x 71

Prime Factorization of 23 is 23

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

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(588, 213) = 41748

GCD(588, 213) = ( 588 x 213 ) / 41748

GCD(588, 213) = 125244 / 41748

GCD(588, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 588, 213, 23, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 313, 69, 153
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• GCD of 207, 359, 46, 139

1. What is the GCD of 588, 213, 23, 405?

GCD of 588, 213, 23, 405 is 1

2. Where do I get the detailed procedure to find GCD of 588, 213, 23, 405?

You can find a detailed procedure to find GCD of 588, 213, 23, 405 on our page.

3. How to find GCD of 588, 213, 23, 405 on a calculator?

You can find the GCD of 588, 213, 23, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.