GCD of 506, 228, 583, 655 Calculator

Given Input numbers are 506, 228, 583, 655

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 506, 228, 583, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 228, 583, 655 is 1.

Therefore, GCD of numbers 506, 228, 583, 655 is 1

Given Input Data is 506, 228, 583, 655

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

Prime Factorization of 506 is 2 x 11 x 23

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

Prime Factorization of 583 is 11 x 53

Prime Factorization of 655 is 5 x 131

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(506, 228) = 57684

GCD(506, 228) = ( 506 x 228 ) / 57684

GCD(506, 228) = 115368 / 57684

GCD(506, 228) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 583

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

LCM(2, 583) = 1166

GCD(2, 583) = ( 2 x 583 ) / 1166

GCD(2, 583) = 1166 / 1166

GCD(2, 583) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 506, 228, 583, 655 is 1

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1. What is the GCD of 506, 228, 583, 655?

GCD of 506, 228, 583, 655 is 1

2. Where do I get the detailed procedure to find GCD of 506, 228, 583, 655?

You can find a detailed procedure to find GCD of 506, 228, 583, 655 on our page.

3. How to find GCD of 506, 228, 583, 655 on a calculator?

You can find the GCD of 506, 228, 583, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.