GCD of 664, 249, 20, 330 Calculator

Given Input numbers are 664, 249, 20, 330

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 664, 249, 20, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 249, 20, 330 is 1.

Therefore, GCD of numbers 664, 249, 20, 330 is 1

Given Input Data is 664, 249, 20, 330

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 249 is 3 x 83

Prime Factorization of 20 is 2 x 2 x 5

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(664, 249) = 1992

GCD(664, 249) = ( 664 x 249 ) / 1992

GCD(664, 249) = 165336 / 1992

GCD(664, 249) = 83

Step2:

Here we consider the GCD from the above i.e. 83 as first number and the next as 20

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

LCM(83, 20) = 1660

GCD(83, 20) = ( 83 x 20 ) / 1660

GCD(83, 20) = 1660 / 1660

GCD(83, 20) = 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 664, 249, 20, 330 is 1

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1. What is the GCD of 664, 249, 20, 330?

GCD of 664, 249, 20, 330 is 1

2. Where do I get the detailed procedure to find GCD of 664, 249, 20, 330?

You can find a detailed procedure to find GCD of 664, 249, 20, 330 on our page.

3. How to find GCD of 664, 249, 20, 330 on a calculator?

You can find the GCD of 664, 249, 20, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.