GCD of 96, 9, 24, 17 Calculator

Given Input numbers are 96, 9, 24, 17

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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 96, 9, 24, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 9, 24, 17 is 1.

Therefore, GCD of numbers 96, 9, 24, 17 is 1

Given Input Data is 96, 9, 24, 17

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 9 is 3 x 3

Prime Factorization of 24 is 2 x 2 x 2 x 3

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(96, 9) = 288

GCD(96, 9) = ( 96 x 9 ) / 288

GCD(96, 9) = 864 / 288

GCD(96, 9) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

GCD of 96, 9, 24, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 9, 28, 38
• GCD of 91, 1, 37, 70
• GCD of 78, 9, 71, 42
• GCD of 19, 2, 90, 53
• GCD of 32, 4, 55, 51

1. What is the GCD of 96, 9, 24, 17?

GCD of 96, 9, 24, 17 is 1

2. Where do I get the detailed procedure to find GCD of 96, 9, 24, 17?

You can find a detailed procedure to find GCD of 96, 9, 24, 17 on our page.

3. How to find GCD of 96, 9, 24, 17 on a calculator?

You can find the GCD of 96, 9, 24, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.