GCD of 39, 405, 959, 159 Calculator

Given Input numbers are 39, 405, 959, 159

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 159

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

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 39, 405, 959, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 405, 959, 159 is 1.

Therefore, GCD of numbers 39, 405, 959, 159 is 1

Given Input Data is 39, 405, 959, 159

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 959 is 7 x 137

Prime Factorization of 159 is 3 x 53

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(39, 405) = 5265

GCD(39, 405) = ( 39 x 405 ) / 5265

GCD(39, 405) = 15795 / 5265

GCD(39, 405) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 959

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

LCM(3, 959) = 2877

GCD(3, 959) = ( 3 x 959 ) / 2877

GCD(3, 959) = 2877 / 2877

GCD(3, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 39, 405, 959, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 381, 194, 142
• GCD of 80, 644, 349, 321
• GCD of 34, 189, 195, 631
• GCD of 50, 908, 908, 532
• GCD of 71, 395, 429, 368

1. What is the GCD of 39, 405, 959, 159?

GCD of 39, 405, 959, 159 is 1

2. Where do I get the detailed procedure to find GCD of 39, 405, 959, 159?

You can find a detailed procedure to find GCD of 39, 405, 959, 159 on our page.

3. How to find GCD of 39, 405, 959, 159 on a calculator?

You can find the GCD of 39, 405, 959, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.