GCD of 204, 365, 335, 108 Calculator

Given Input numbers are 204, 365, 335, 108

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

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

Greatest Common Divisior

We found the divisors of 204, 365, 335, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 365, 335, 108 is 1.

Therefore, GCD of numbers 204, 365, 335, 108 is 1

Given Input Data is 204, 365, 335, 108

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 365 is 5 x 73

Prime Factorization of 335 is 5 x 67

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

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(204, 365) = 74460

GCD(204, 365) = ( 204 x 365 ) / 74460

GCD(204, 365) = 74460 / 74460

GCD(204, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 204, 365, 335, 108 is 1

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1. What is the GCD of 204, 365, 335, 108?

GCD of 204, 365, 335, 108 is 1

2. Where do I get the detailed procedure to find GCD of 204, 365, 335, 108?

You can find a detailed procedure to find GCD of 204, 365, 335, 108 on our page.

3. How to find GCD of 204, 365, 335, 108 on a calculator?

You can find the GCD of 204, 365, 335, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.