GCD of 563, 218, 30, 231 Calculator

Given Input numbers are 563, 218, 30, 231

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

Divisors of 563

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

1, 563

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 563, 218, 30, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 218, 30, 231 is 1.

Therefore, GCD of numbers 563, 218, 30, 231 is 1

Given Input Data is 563, 218, 30, 231

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

Prime Factorization of 563 is 563

Prime Factorization of 218 is 2 x 109

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 231 is 3 x 7 x 11

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(563, 218) = 122734

GCD(563, 218) = ( 563 x 218 ) / 122734

GCD(563, 218) = 122734 / 122734

GCD(563, 218) = 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 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 563, 218, 30, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 205, 65, 819
• GCD of 275, 302, 89, 593
• GCD of 862, 621, 76, 664
• GCD of 110, 720, 19, 308
• GCD of 219, 370, 54, 921

1. What is the GCD of 563, 218, 30, 231?

GCD of 563, 218, 30, 231 is 1

2. Where do I get the detailed procedure to find GCD of 563, 218, 30, 231?

You can find a detailed procedure to find GCD of 563, 218, 30, 231 on our page.

3. How to find GCD of 563, 218, 30, 231 on a calculator?

You can find the GCD of 563, 218, 30, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.