GCD of 39, 87, 96, 68 Calculator

Given Input numbers are 39, 87, 96, 68

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

Divisors of 39

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

1, 3, 13, 39

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Greatest Common Divisior

We found the divisors of 39, 87, 96, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 87, 96, 68 is 1.

Therefore, GCD of numbers 39, 87, 96, 68 is 1

Given Input Data is 39, 87, 96, 68

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 87 is 3 x 29

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

Prime Factorization of 68 is 2 x 2 x 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(39, 87) = 1131

GCD(39, 87) = ( 39 x 87 ) / 1131

GCD(39, 87) = 3393 / 1131

GCD(39, 87) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 68

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

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

GCD(3, 68) = 204 / 204

GCD(3, 68) = 1

GCD of 39, 87, 96, 68 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 11, 14, 67
• GCD of 51, 58, 60, 76
• GCD of 55, 30, 85, 17
• GCD of 23, 58, 84, 35
• GCD of 75, 37, 48, 68

1. What is the GCD of 39, 87, 96, 68?

GCD of 39, 87, 96, 68 is 1

2. Where do I get the detailed procedure to find GCD of 39, 87, 96, 68?

You can find a detailed procedure to find GCD of 39, 87, 96, 68 on our page.

3. How to find GCD of 39, 87, 96, 68 on a calculator?

You can find the GCD of 39, 87, 96, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.