GCD of 321, 580, 40, 406 Calculator

Given Input numbers are 321, 580, 40, 406

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 321, 580, 40, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 580, 40, 406 is 1.

Therefore, GCD of numbers 321, 580, 40, 406 is 1

Given Input Data is 321, 580, 40, 406

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 406 is 2 x 7 x 29

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(321, 580) = 186180

GCD(321, 580) = ( 321 x 580 ) / 186180

GCD(321, 580) = 186180 / 186180

GCD(321, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 321, 580, 40, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 649, 68, 122
• GCD of 704, 116, 25, 875
• GCD of 312, 864, 29, 514
• GCD of 655, 683, 42, 917
• GCD of 903, 917, 12, 766

1. What is the GCD of 321, 580, 40, 406?

GCD of 321, 580, 40, 406 is 1

2. Where do I get the detailed procedure to find GCD of 321, 580, 40, 406?

You can find a detailed procedure to find GCD of 321, 580, 40, 406 on our page.

3. How to find GCD of 321, 580, 40, 406 on a calculator?

You can find the GCD of 321, 580, 40, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.