GCD of 159, 728, 89, 393 Calculator

Given Input numbers are 159, 728, 89, 393

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 159, 728, 89, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 728, 89, 393 is 1.

Therefore, GCD of numbers 159, 728, 89, 393 is 1

Given Input Data is 159, 728, 89, 393

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 89 is 89

Prime Factorization of 393 is 3 x 131

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(159, 728) = 115752

GCD(159, 728) = ( 159 x 728 ) / 115752

GCD(159, 728) = 115752 / 115752

GCD(159, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 159, 728, 89, 393 is 1

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1. What is the GCD of 159, 728, 89, 393?

GCD of 159, 728, 89, 393 is 1

2. Where do I get the detailed procedure to find GCD of 159, 728, 89, 393?

You can find a detailed procedure to find GCD of 159, 728, 89, 393 on our page.

3. How to find GCD of 159, 728, 89, 393 on a calculator?

You can find the GCD of 159, 728, 89, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.