GCD of 180, 663, 16, 330 Calculator

Given Input numbers are 180, 663, 16, 330

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

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 180, 663, 16, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 663, 16, 330 is 1.

Therefore, GCD of numbers 180, 663, 16, 330 is 1

Given Input Data is 180, 663, 16, 330

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 663 is 3 x 13 x 17

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

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(180, 663) = 39780

GCD(180, 663) = ( 180 x 663 ) / 39780

GCD(180, 663) = 119340 / 39780

GCD(180, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 180, 663, 16, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 120, 71, 982
• GCD of 545, 236, 30, 359
• GCD of 978, 106, 18, 989
• GCD of 506, 142, 49, 679
• GCD of 563, 824, 93, 272

1. What is the GCD of 180, 663, 16, 330?

GCD of 180, 663, 16, 330 is 1

2. Where do I get the detailed procedure to find GCD of 180, 663, 16, 330?

You can find a detailed procedure to find GCD of 180, 663, 16, 330 on our page.

3. How to find GCD of 180, 663, 16, 330 on a calculator?

You can find the GCD of 180, 663, 16, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.