GCD of 217, 609, 32, 330 Calculator

Given Input numbers are 217, 609, 32, 330

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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 217, 609, 32, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 609, 32, 330 is 1.

Therefore, GCD of numbers 217, 609, 32, 330 is 1

Given Input Data is 217, 609, 32, 330

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 32 is 2 x 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(217, 609) = 18879

GCD(217, 609) = ( 217 x 609 ) / 18879

GCD(217, 609) = 132153 / 18879

GCD(217, 609) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 32

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

LCM(7, 32) = 224

GCD(7, 32) = ( 7 x 32 ) / 224

GCD(7, 32) = 224 / 224

GCD(7, 32) = 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 217, 609, 32, 330 is 1

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1. What is the GCD of 217, 609, 32, 330?

GCD of 217, 609, 32, 330 is 1

2. Where do I get the detailed procedure to find GCD of 217, 609, 32, 330?

You can find a detailed procedure to find GCD of 217, 609, 32, 330 on our page.

3. How to find GCD of 217, 609, 32, 330 on a calculator?

You can find the GCD of 217, 609, 32, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.