GCD of 216, 180, 731, 488 Calculator

Given Input numbers are 216, 180, 731, 488

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 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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 216, 180, 731, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 180, 731, 488 is 1.

Therefore, GCD of numbers 216, 180, 731, 488 is 1

Given Input Data is 216, 180, 731, 488

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 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 731 is 17 x 43

Prime Factorization of 488 is 2 x 2 x 2 x 61

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, 180) = 1080

GCD(216, 180) = ( 216 x 180 ) / 1080

GCD(216, 180) = 38880 / 1080

GCD(216, 180) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 731

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

LCM(36, 731) = 26316

GCD(36, 731) = ( 36 x 731 ) / 26316

GCD(36, 731) = 26316 / 26316

GCD(36, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 216, 180, 731, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 348, 771, 995
• GCD of 525, 547, 320, 765
• GCD of 190, 618, 684, 190
• GCD of 816, 470, 863, 928
• GCD of 413, 822, 236, 364

1. What is the GCD of 216, 180, 731, 488?

GCD of 216, 180, 731, 488 is 1

2. Where do I get the detailed procedure to find GCD of 216, 180, 731, 488?

You can find a detailed procedure to find GCD of 216, 180, 731, 488 on our page.

3. How to find GCD of 216, 180, 731, 488 on a calculator?

You can find the GCD of 216, 180, 731, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.