GCD of 108, 330, 28, 353 Calculator

Given Input numbers are 108, 330, 28, 353

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 108, 330, 28, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 330, 28, 353 is 1.

Therefore, GCD of numbers 108, 330, 28, 353 is 1

Given Input Data is 108, 330, 28, 353

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 353 is 353

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(108, 330) = 5940

GCD(108, 330) = ( 108 x 330 ) / 5940

GCD(108, 330) = 35640 / 5940

GCD(108, 330) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 28

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

LCM(6, 28) = 84

GCD(6, 28) = ( 6 x 28 ) / 84

GCD(6, 28) = 168 / 84

GCD(6, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

GCD of 108, 330, 28, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 473, 95, 175
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• GCD of 933, 733, 76, 963

1. What is the GCD of 108, 330, 28, 353?

GCD of 108, 330, 28, 353 is 1

2. Where do I get the detailed procedure to find GCD of 108, 330, 28, 353?

You can find a detailed procedure to find GCD of 108, 330, 28, 353 on our page.

3. How to find GCD of 108, 330, 28, 353 on a calculator?

You can find the GCD of 108, 330, 28, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.