GCD of 17, 809, 159, 122 Calculator

Given Input numbers are 17, 809, 159, 122

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 159

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

1, 3, 53, 159

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 17, 809, 159, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 809, 159, 122 is 1.

Therefore, GCD of numbers 17, 809, 159, 122 is 1

Given Input Data is 17, 809, 159, 122

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

Prime Factorization of 17 is 17

Prime Factorization of 809 is 809

Prime Factorization of 159 is 3 x 53

Prime Factorization of 122 is 2 x 61

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(17, 809) = 13753

GCD(17, 809) = ( 17 x 809 ) / 13753

GCD(17, 809) = 13753 / 13753

GCD(17, 809) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 17, 809, 159, 122 is 1

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1. What is the GCD of 17, 809, 159, 122?

GCD of 17, 809, 159, 122 is 1

2. Where do I get the detailed procedure to find GCD of 17, 809, 159, 122?

You can find a detailed procedure to find GCD of 17, 809, 159, 122 on our page.

3. How to find GCD of 17, 809, 159, 122 on a calculator?

You can find the GCD of 17, 809, 159, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.