GCD of 585, 989, 405, 514 Calculator

Given Input numbers are 585, 989, 405, 514

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

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 585, 989, 405, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 989, 405, 514 is 1.

Therefore, GCD of numbers 585, 989, 405, 514 is 1

Given Input Data is 585, 989, 405, 514

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

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

Prime Factorization of 989 is 23 x 43

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

Prime Factorization of 514 is 2 x 257

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(585, 989) = 578565

GCD(585, 989) = ( 585 x 989 ) / 578565

GCD(585, 989) = 578565 / 578565

GCD(585, 989) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 585, 989, 405, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 403, 193, 835
• GCD of 371, 376, 102, 339
• GCD of 330, 258, 576, 265
• GCD of 355, 240, 945, 380
• GCD of 398, 805, 660, 341

1. What is the GCD of 585, 989, 405, 514?

GCD of 585, 989, 405, 514 is 1

2. Where do I get the detailed procedure to find GCD of 585, 989, 405, 514?

You can find a detailed procedure to find GCD of 585, 989, 405, 514 on our page.

3. How to find GCD of 585, 989, 405, 514 on a calculator?

You can find the GCD of 585, 989, 405, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.