GCD of 397, 589, 128, 738 Calculator

Given Input numbers are 397, 589, 128, 738

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 589

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

1, 19, 31, 589

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 397, 589, 128, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 589, 128, 738 is 1.

Therefore, GCD of numbers 397, 589, 128, 738 is 1

Given Input Data is 397, 589, 128, 738

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

Prime Factorization of 397 is 397

Prime Factorization of 589 is 19 x 31

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(397, 589) = 233833

GCD(397, 589) = ( 397 x 589 ) / 233833

GCD(397, 589) = 233833 / 233833

GCD(397, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 397, 589, 128, 738 is 1

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1. What is the GCD of 397, 589, 128, 738?

GCD of 397, 589, 128, 738 is 1

2. Where do I get the detailed procedure to find GCD of 397, 589, 128, 738?

You can find a detailed procedure to find GCD of 397, 589, 128, 738 on our page.

3. How to find GCD of 397, 589, 128, 738 on a calculator?

You can find the GCD of 397, 589, 128, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.