GCD of 583, 195, 17, 928 Calculator

Given Input numbers are 583, 195, 17, 928

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

Divisors of 583

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

1, 11, 53, 583

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 583, 195, 17, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 583, 195, 17, 928 is 1.

Therefore, GCD of numbers 583, 195, 17, 928 is 1

Given Input Data is 583, 195, 17, 928

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

Prime Factorization of 583 is 11 x 53

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 17 is 17

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(583, 195) = 113685

GCD(583, 195) = ( 583 x 195 ) / 113685

GCD(583, 195) = 113685 / 113685

GCD(583, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

GCD of 583, 195, 17, 928 is 1

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1. What is the GCD of 583, 195, 17, 928?

GCD of 583, 195, 17, 928 is 1

2. Where do I get the detailed procedure to find GCD of 583, 195, 17, 928?

You can find a detailed procedure to find GCD of 583, 195, 17, 928 on our page.

3. How to find GCD of 583, 195, 17, 928 on a calculator?

You can find the GCD of 583, 195, 17, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.