GCD of 128, 442, 73, 589 Calculator

Given Input numbers are 128, 442, 73, 589

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 128, 442, 73, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 442, 73, 589 is 1.

Therefore, GCD of numbers 128, 442, 73, 589 is 1

Given Input Data is 128, 442, 73, 589

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 73 is 73

Prime Factorization of 589 is 19 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(128, 442) = 28288

GCD(128, 442) = ( 128 x 442 ) / 28288

GCD(128, 442) = 56576 / 28288

GCD(128, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 128, 442, 73, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 938, 85, 768
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• GCD of 448, 367, 93, 460

1. What is the GCD of 128, 442, 73, 589?

GCD of 128, 442, 73, 589 is 1

2. Where do I get the detailed procedure to find GCD of 128, 442, 73, 589?

You can find a detailed procedure to find GCD of 128, 442, 73, 589 on our page.

3. How to find GCD of 128, 442, 73, 589 on a calculator?

You can find the GCD of 128, 442, 73, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.