GCD of 57, 304, 405, 500 Calculator

Given Input numbers are 57, 304, 405, 500

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 57, 304, 405, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 304, 405, 500 is 1.

Therefore, GCD of numbers 57, 304, 405, 500 is 1

Given Input Data is 57, 304, 405, 500

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 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(57, 304) = 912

GCD(57, 304) = ( 57 x 304 ) / 912

GCD(57, 304) = 17328 / 912

GCD(57, 304) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 405

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

LCM(19, 405) = 7695

GCD(19, 405) = ( 19 x 405 ) / 7695

GCD(19, 405) = 7695 / 7695

GCD(19, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 57, 304, 405, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 986, 636, 575
• GCD of 54, 886, 568, 581
• GCD of 90, 201, 456, 474
• GCD of 24, 201, 226, 354
• GCD of 19, 453, 729, 125

1. What is the GCD of 57, 304, 405, 500?

GCD of 57, 304, 405, 500 is 1

2. Where do I get the detailed procedure to find GCD of 57, 304, 405, 500?

You can find a detailed procedure to find GCD of 57, 304, 405, 500 on our page.

3. How to find GCD of 57, 304, 405, 500 on a calculator?

You can find the GCD of 57, 304, 405, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.