GCD of 407, 591, 28, 585 Calculator

Given Input numbers are 407, 591, 28, 585

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 407, 591, 28, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 591, 28, 585 is 1.

Therefore, GCD of numbers 407, 591, 28, 585 is 1

Given Input Data is 407, 591, 28, 585

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 591 is 3 x 197

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(407, 591) = 240537

GCD(407, 591) = ( 407 x 591 ) / 240537

GCD(407, 591) = 240537 / 240537

GCD(407, 591) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 407, 591, 28, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 660, 10, 608
• GCD of 627, 320, 56, 217
• GCD of 593, 414, 19, 725
• GCD of 738, 515, 90, 624
• GCD of 988, 823, 99, 667

1. What is the GCD of 407, 591, 28, 585?

GCD of 407, 591, 28, 585 is 1

2. Where do I get the detailed procedure to find GCD of 407, 591, 28, 585?

You can find a detailed procedure to find GCD of 407, 591, 28, 585 on our page.

3. How to find GCD of 407, 591, 28, 585 on a calculator?

You can find the GCD of 407, 591, 28, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.