GCD of 908, 330, 32, 209 Calculator

Given Input numbers are 908, 330, 32, 209

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

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

Divisors of 32

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

1, 2, 4, 8, 16, 32

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 908, 330, 32, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 330, 32, 209 is 1.

Therefore, GCD of numbers 908, 330, 32, 209 is 1

Given Input Data is 908, 330, 32, 209

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

Prime Factorization of 908 is 2 x 2 x 227

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 209 is 11 x 19

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(908, 330) = 149820

GCD(908, 330) = ( 908 x 330 ) / 149820

GCD(908, 330) = 299640 / 149820

GCD(908, 330) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 908, 330, 32, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 108, 64, 221
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• GCD of 174, 781, 93, 274

1. What is the GCD of 908, 330, 32, 209?

GCD of 908, 330, 32, 209 is 1

2. Where do I get the detailed procedure to find GCD of 908, 330, 32, 209?

You can find a detailed procedure to find GCD of 908, 330, 32, 209 on our page.

3. How to find GCD of 908, 330, 32, 209 on a calculator?

You can find the GCD of 908, 330, 32, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.