GCD of 159, 390, 13, 341 Calculator

Given Input numbers are 159, 390, 13, 341

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 159, 390, 13, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 390, 13, 341 is 1.

Therefore, GCD of numbers 159, 390, 13, 341 is 1

Given Input Data is 159, 390, 13, 341

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 13 is 13

Prime Factorization of 341 is 11 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(159, 390) = 20670

GCD(159, 390) = ( 159 x 390 ) / 20670

GCD(159, 390) = 62010 / 20670

GCD(159, 390) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 159, 390, 13, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 860, 32, 868
• GCD of 636, 338, 73, 165
• GCD of 865, 216, 56, 583
• GCD of 486, 572, 63, 211
• GCD of 348, 184, 69, 200

1. What is the GCD of 159, 390, 13, 341?

GCD of 159, 390, 13, 341 is 1

2. Where do I get the detailed procedure to find GCD of 159, 390, 13, 341?

You can find a detailed procedure to find GCD of 159, 390, 13, 341 on our page.

3. How to find GCD of 159, 390, 13, 341 on a calculator?

You can find the GCD of 159, 390, 13, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.