GCD of 34, 96, 24, 39 Calculator

Given Input numbers are 34, 96, 24, 39

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 24

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

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Greatest Common Divisior

We found the divisors of 34, 96, 24, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 96, 24, 39 is 1.

Therefore, GCD of numbers 34, 96, 24, 39 is 1

Given Input Data is 34, 96, 24, 39

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

Prime Factorization of 34 is 2 x 17

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

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

Prime Factorization of 39 is 3 x 13

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(34, 96) = 1632

GCD(34, 96) = ( 34 x 96 ) / 1632

GCD(34, 96) = 3264 / 1632

GCD(34, 96) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

GCD of 34, 96, 24, 39 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 93, 62, 89
• GCD of 54, 11, 39, 22
• GCD of 78, 18, 95, 69
• GCD of 36, 56, 19, 21
• GCD of 78, 39, 98, 32

1. What is the GCD of 34, 96, 24, 39?

GCD of 34, 96, 24, 39 is 1

2. Where do I get the detailed procedure to find GCD of 34, 96, 24, 39?

You can find a detailed procedure to find GCD of 34, 96, 24, 39 on our page.

3. How to find GCD of 34, 96, 24, 39 on a calculator?

You can find the GCD of 34, 96, 24, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.