GCD of 47, 39, 17, 72 Calculator

Given Input numbers are 47, 39, 17, 72

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 39

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

1, 3, 13, 39

Divisors of 17

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

1, 17

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 47, 39, 17, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 39, 17, 72 is 1.

Therefore, GCD of numbers 47, 39, 17, 72 is 1

Given Input Data is 47, 39, 17, 72

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

Prime Factorization of 47 is 47

Prime Factorization of 39 is 3 x 13

Prime Factorization of 17 is 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(47, 39) = 1833

GCD(47, 39) = ( 47 x 39 ) / 1833

GCD(47, 39) = 1833 / 1833

GCD(47, 39) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

GCD of 47, 39, 17, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 24, 66, 29
• GCD of 84, 65, 26, 13
• GCD of 65, 29, 74, 85
• GCD of 25, 52, 22, 96
• GCD of 71, 89, 99, 15

1. What is the GCD of 47, 39, 17, 72?

GCD of 47, 39, 17, 72 is 1

2. Where do I get the detailed procedure to find GCD of 47, 39, 17, 72?

You can find a detailed procedure to find GCD of 47, 39, 17, 72 on our page.

3. How to find GCD of 47, 39, 17, 72 on a calculator?

You can find the GCD of 47, 39, 17, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.