GCD of 21, 586, 605, 563 Calculator

Given Input numbers are 21, 586, 605, 563

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 21, 586, 605, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 586, 605, 563 is 1.

Therefore, GCD of numbers 21, 586, 605, 563 is 1

Given Input Data is 21, 586, 605, 563

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 586 is 2 x 293

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 563 is 563

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(21, 586) = 12306

GCD(21, 586) = ( 21 x 586 ) / 12306

GCD(21, 586) = 12306 / 12306

GCD(21, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 21, 586, 605, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 841, 362, 325
• GCD of 49, 121, 475, 617
• GCD of 44, 190, 530, 407
• GCD of 82, 754, 579, 435
• GCD of 43, 839, 228, 885

1. What is the GCD of 21, 586, 605, 563?

GCD of 21, 586, 605, 563 is 1

2. Where do I get the detailed procedure to find GCD of 21, 586, 605, 563?

You can find a detailed procedure to find GCD of 21, 586, 605, 563 on our page.

3. How to find GCD of 21, 586, 605, 563 on a calculator?

You can find the GCD of 21, 586, 605, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.