GCD of 228, 290, 58, 563 Calculator

Given Input numbers are 228, 290, 58, 563

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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 228, 290, 58, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 290, 58, 563 is 1.

Therefore, GCD of numbers 228, 290, 58, 563 is 1

Given Input Data is 228, 290, 58, 563

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 58 is 2 x 29

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(228, 290) = 33060

GCD(228, 290) = ( 228 x 290 ) / 33060

GCD(228, 290) = 66120 / 33060

GCD(228, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

GCD of 228, 290, 58, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 687, 60, 584
• GCD of 110, 388, 49, 109
• GCD of 774, 298, 34, 592
• GCD of 156, 575, 41, 358
• GCD of 773, 563, 94, 866

1. What is the GCD of 228, 290, 58, 563?

GCD of 228, 290, 58, 563 is 1

2. Where do I get the detailed procedure to find GCD of 228, 290, 58, 563?

You can find a detailed procedure to find GCD of 228, 290, 58, 563 on our page.

3. How to find GCD of 228, 290, 58, 563 on a calculator?

You can find the GCD of 228, 290, 58, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.