GCD of 216, 361, 71, 180 Calculator

Given Input numbers are 216, 361, 71, 180

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 71

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

1, 71

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 216, 361, 71, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 361, 71, 180 is 1.

Therefore, GCD of numbers 216, 361, 71, 180 is 1

Given Input Data is 216, 361, 71, 180

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 361 is 19 x 19

Prime Factorization of 71 is 71

Prime Factorization of 180 is 2 x 2 x 3 x 3 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(216, 361) = 77976

GCD(216, 361) = ( 216 x 361 ) / 77976

GCD(216, 361) = 77976 / 77976

GCD(216, 361) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 216, 361, 71, 180 is 1

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• GCD of 982, 581, 39, 805
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1. What is the GCD of 216, 361, 71, 180?

GCD of 216, 361, 71, 180 is 1

2. Where do I get the detailed procedure to find GCD of 216, 361, 71, 180?

You can find a detailed procedure to find GCD of 216, 361, 71, 180 on our page.

3. How to find GCD of 216, 361, 71, 180 on a calculator?

You can find the GCD of 216, 361, 71, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.