GCD of 405, 320, 56, 326 Calculator

Given Input numbers are 405, 320, 56, 326

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

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 405, 320, 56, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 320, 56, 326 is 1.

Therefore, GCD of numbers 405, 320, 56, 326 is 1

Given Input Data is 405, 320, 56, 326

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

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 326 is 2 x 163

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(405, 320) = 25920

GCD(405, 320) = ( 405 x 320 ) / 25920

GCD(405, 320) = 129600 / 25920

GCD(405, 320) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 56

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

LCM(5, 56) = 280

GCD(5, 56) = ( 5 x 56 ) / 280

GCD(5, 56) = 280 / 280

GCD(5, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

GCD of 405, 320, 56, 326 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 415, 92, 277
• GCD of 177, 190, 46, 809
• GCD of 872, 864, 28, 395
• GCD of 891, 419, 51, 264
• GCD of 988, 709, 32, 130

1. What is the GCD of 405, 320, 56, 326?

GCD of 405, 320, 56, 326 is 1

2. Where do I get the detailed procedure to find GCD of 405, 320, 56, 326?

You can find a detailed procedure to find GCD of 405, 320, 56, 326 on our page.

3. How to find GCD of 405, 320, 56, 326 on a calculator?

You can find the GCD of 405, 320, 56, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.