GCD of 16, 9, 15, 71 Calculator

Given Input numbers are 16, 9, 15, 71

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 9

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

1, 3, 9

Divisors of 15

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

1, 3, 5, 15

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 16, 9, 15, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 9, 15, 71 is 1.

Therefore, GCD of numbers 16, 9, 15, 71 is 1

Given Input Data is 16, 9, 15, 71

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 9 is 3 x 3

Prime Factorization of 15 is 3 x 5

Prime Factorization of 71 is 71

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(16, 9) = 144

GCD(16, 9) = ( 16 x 9 ) / 144

GCD(16, 9) = 144 / 144

GCD(16, 9) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

GCD of 16, 9, 15, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 8, 45, 47
• GCD of 10, 7, 32, 84
• GCD of 35, 5, 52, 89
• GCD of 85, 1, 50, 67
• GCD of 45, 3, 37, 58

1. What is the GCD of 16, 9, 15, 71?

GCD of 16, 9, 15, 71 is 1

2. Where do I get the detailed procedure to find GCD of 16, 9, 15, 71?

You can find a detailed procedure to find GCD of 16, 9, 15, 71 on our page.

3. How to find GCD of 16, 9, 15, 71 on a calculator?

You can find the GCD of 16, 9, 15, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.