GCD of 213, 584, 30, 566 Calculator

Given Input numbers are 213, 584, 30, 566

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 566

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

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 213, 584, 30, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 584, 30, 566 is 1.

Therefore, GCD of numbers 213, 584, 30, 566 is 1

Given Input Data is 213, 584, 30, 566

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 566 is 2 x 283

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(213, 584) = 124392

GCD(213, 584) = ( 213 x 584 ) / 124392

GCD(213, 584) = 124392 / 124392

GCD(213, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 213, 584, 30, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 394, 38, 810
• GCD of 448, 480, 87, 838
• GCD of 751, 957, 56, 186
• GCD of 626, 284, 29, 683
• GCD of 800, 289, 18, 385

1. What is the GCD of 213, 584, 30, 566?

GCD of 213, 584, 30, 566 is 1

2. Where do I get the detailed procedure to find GCD of 213, 584, 30, 566?

You can find a detailed procedure to find GCD of 213, 584, 30, 566 on our page.

3. How to find GCD of 213, 584, 30, 566 on a calculator?

You can find the GCD of 213, 584, 30, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.