GCD of 928, 589, 50, 561 Calculator

Given Input numbers are 928, 589, 50, 561

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

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 928, 589, 50, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 589, 50, 561 is 1.

Therefore, GCD of numbers 928, 589, 50, 561 is 1

Given Input Data is 928, 589, 50, 561

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

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 561 is 3 x 11 x 17

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(928, 589) = 546592

GCD(928, 589) = ( 928 x 589 ) / 546592

GCD(928, 589) = 546592 / 546592

GCD(928, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 928, 589, 50, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 689, 85, 616
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• GCD of 268, 649, 31, 945

1. What is the GCD of 928, 589, 50, 561?

GCD of 928, 589, 50, 561 is 1

2. Where do I get the detailed procedure to find GCD of 928, 589, 50, 561?

You can find a detailed procedure to find GCD of 928, 589, 50, 561 on our page.

3. How to find GCD of 928, 589, 50, 561 on a calculator?

You can find the GCD of 928, 589, 50, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.