GCD of 15, 39, 96, 50 Calculator

Given Input numbers are 15, 39, 96, 50

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 39

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

1, 3, 13, 39

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Greatest Common Divisior

We found the divisors of 15, 39, 96, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 39, 96, 50 is 1.

Therefore, GCD of numbers 15, 39, 96, 50 is 1

Given Input Data is 15, 39, 96, 50

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 39 is 3 x 13

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

Prime Factorization of 50 is 2 x 5 x 5

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(15, 39) = 195

GCD(15, 39) = ( 15 x 39 ) / 195

GCD(15, 39) = 585 / 195

GCD(15, 39) = 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 50

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

LCM(3, 50) = 150

GCD(3, 50) = ( 3 x 50 ) / 150

GCD(3, 50) = 150 / 150

GCD(3, 50) = 1

GCD of 15, 39, 96, 50 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 63, 33, 95
• GCD of 34, 44, 43, 62
• GCD of 45, 89, 44, 35
• GCD of 80, 61, 66, 80
• GCD of 66, 14, 70, 28

1. What is the GCD of 15, 39, 96, 50?

GCD of 15, 39, 96, 50 is 1

2. Where do I get the detailed procedure to find GCD of 15, 39, 96, 50?

You can find a detailed procedure to find GCD of 15, 39, 96, 50 on our page.

3. How to find GCD of 15, 39, 96, 50 on a calculator?

You can find the GCD of 15, 39, 96, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.