GCD of 32, 81, 23, 17 Calculator

Given Input numbers are 32, 81, 23, 17

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 17

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

1, 17

Greatest Common Divisior

We found the divisors of 32, 81, 23, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 81, 23, 17 is 1.

Therefore, GCD of numbers 32, 81, 23, 17 is 1

Given Input Data is 32, 81, 23, 17

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 23 is 23

Prime Factorization of 17 is 17

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(32, 81) = 2592

GCD(32, 81) = ( 32 x 81 ) / 2592

GCD(32, 81) = 2592 / 2592

GCD(32, 81) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 32, 81, 23, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 34, 57, 90
• GCD of 16, 75, 47, 11
• GCD of 87, 98, 12, 37
• GCD of 52, 75, 87, 37
• GCD of 29, 96, 41, 74

1. What is the GCD of 32, 81, 23, 17?

GCD of 32, 81, 23, 17 is 1

2. Where do I get the detailed procedure to find GCD of 32, 81, 23, 17?

You can find a detailed procedure to find GCD of 32, 81, 23, 17 on our page.

3. How to find GCD of 32, 81, 23, 17 on a calculator?

You can find the GCD of 32, 81, 23, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.