GCD of 17, 12, 71 Calculator

Given Input numbers are 17, 12, 71

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

Divisors of 17

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

1, 17

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 17, 12, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 12, 71 is 1.

Therefore, GCD of numbers 17, 12, 71 is 1

Given Input Data is 17, 12, 71

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

Prime Factorization of 17 is 17

Prime Factorization of 12 is 2 x 2 x 3

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(17, 12) = 204

GCD(17, 12) = ( 17 x 12 ) / 204

GCD(17, 12) = 204 / 204

GCD(17, 12) = 1

Step2:

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 17, 12, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 52, 32
• GCD of 55, 46, 79
• GCD of 30, 88, 38
• GCD of 52, 44, 29
• GCD of 75, 85, 88

1. What is the GCD of 17, 12, 71?

GCD of 17, 12, 71 is 1

2. Where do I get the detailed procedure to find GCD of 17, 12, 71?

You can find a detailed procedure to find GCD of 17, 12, 71 on our page.

3. How to find GCD of 17, 12, 71 on a calculator?

You can find the GCD of 17, 12, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.