GCD of 645, 559, 18, 591 Calculator

Given Input numbers are 645, 559, 18, 591

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 591

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

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 645, 559, 18, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 559, 18, 591 is 1.

Therefore, GCD of numbers 645, 559, 18, 591 is 1

Given Input Data is 645, 559, 18, 591

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 559 is 13 x 43

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 591 is 3 x 197

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(645, 559) = 8385

GCD(645, 559) = ( 645 x 559 ) / 8385

GCD(645, 559) = 360555 / 8385

GCD(645, 559) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 18

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

LCM(43, 18) = 774

GCD(43, 18) = ( 43 x 18 ) / 774

GCD(43, 18) = 774 / 774

GCD(43, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 645, 559, 18, 591 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 778, 36, 755
• GCD of 790, 379, 62, 438
• GCD of 941, 906, 33, 706
• GCD of 116, 326, 71, 996
• GCD of 787, 904, 78, 592

1. What is the GCD of 645, 559, 18, 591?

GCD of 645, 559, 18, 591 is 1

2. Where do I get the detailed procedure to find GCD of 645, 559, 18, 591?

You can find a detailed procedure to find GCD of 645, 559, 18, 591 on our page.

3. How to find GCD of 645, 559, 18, 591 on a calculator?

You can find the GCD of 645, 559, 18, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.