GCD of 566, 318, 90, 589 Calculator

Given Input numbers are 566, 318, 90, 589

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 566, 318, 90, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 318, 90, 589 is 1.

Therefore, GCD of numbers 566, 318, 90, 589 is 1

Given Input Data is 566, 318, 90, 589

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 589 is 19 x 31

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(566, 318) = 89994

GCD(566, 318) = ( 566 x 318 ) / 89994

GCD(566, 318) = 179988 / 89994

GCD(566, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

GCD of 566, 318, 90, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 131, 37, 968
• GCD of 767, 535, 69, 296
• GCD of 599, 549, 33, 989
• GCD of 644, 530, 58, 428
• GCD of 140, 585, 14, 947

1. What is the GCD of 566, 318, 90, 589?

GCD of 566, 318, 90, 589 is 1

2. Where do I get the detailed procedure to find GCD of 566, 318, 90, 589?

You can find a detailed procedure to find GCD of 566, 318, 90, 589 on our page.

3. How to find GCD of 566, 318, 90, 589 on a calculator?

You can find the GCD of 566, 318, 90, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.