GCD of 582, 622, 221, 217 Calculator

Given Input numbers are 582, 622, 221, 217

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 582, 622, 221, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 622, 221, 217 is 1.

Therefore, GCD of numbers 582, 622, 221, 217 is 1

Given Input Data is 582, 622, 221, 217

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 622 is 2 x 311

Prime Factorization of 221 is 13 x 17

Prime Factorization of 217 is 7 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(582, 622) = 181002

GCD(582, 622) = ( 582 x 622 ) / 181002

GCD(582, 622) = 362004 / 181002

GCD(582, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 582, 622, 221, 217 is 1

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1. What is the GCD of 582, 622, 221, 217?

GCD of 582, 622, 221, 217 is 1

2. Where do I get the detailed procedure to find GCD of 582, 622, 221, 217?

You can find a detailed procedure to find GCD of 582, 622, 221, 217 on our page.

3. How to find GCD of 582, 622, 221, 217 on a calculator?

You can find the GCD of 582, 622, 221, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.