GCD of 159, 108, 19, 462 Calculator

Given Input numbers are 159, 108, 19, 462

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 159, 108, 19, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 108, 19, 462 is 1.

Therefore, GCD of numbers 159, 108, 19, 462 is 1

Given Input Data is 159, 108, 19, 462

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 19 is 19

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 108) = 5724

GCD(159, 108) = ( 159 x 108 ) / 5724

GCD(159, 108) = 17172 / 5724

GCD(159, 108) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 19

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

LCM(3, 19) = 57

GCD(3, 19) = ( 3 x 19 ) / 57

GCD(3, 19) = 57 / 57

GCD(3, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 159, 108, 19, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 356, 15, 540
• GCD of 641, 222, 57, 134
• GCD of 342, 444, 87, 709
• GCD of 725, 846, 92, 191
• GCD of 220, 422, 17, 989

1. What is the GCD of 159, 108, 19, 462?

GCD of 159, 108, 19, 462 is 1

2. Where do I get the detailed procedure to find GCD of 159, 108, 19, 462?

You can find a detailed procedure to find GCD of 159, 108, 19, 462 on our page.

3. How to find GCD of 159, 108, 19, 462 on a calculator?

You can find the GCD of 159, 108, 19, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.