GCD of 908, 358, 999, 205 Calculator

Given Input numbers are 908, 358, 999, 205

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 908, 358, 999, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 358, 999, 205 is 1.

Therefore, GCD of numbers 908, 358, 999, 205 is 1

Given Input Data is 908, 358, 999, 205

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 358 is 2 x 179

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 205 is 5 x 41

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, 358) = 162532

GCD(908, 358) = ( 908 x 358 ) / 162532

GCD(908, 358) = 325064 / 162532

GCD(908, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 999

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

LCM(2, 999) = 1998

GCD(2, 999) = ( 2 x 999 ) / 1998

GCD(2, 999) = 1998 / 1998

GCD(2, 999) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 908, 358, 999, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 694, 694, 723
• GCD of 379, 512, 819, 749
• GCD of 573, 708, 189, 573
• GCD of 155, 227, 512, 916
• GCD of 112, 309, 119, 143

1. What is the GCD of 908, 358, 999, 205?

GCD of 908, 358, 999, 205 is 1

2. Where do I get the detailed procedure to find GCD of 908, 358, 999, 205?

You can find a detailed procedure to find GCD of 908, 358, 999, 205 on our page.

3. How to find GCD of 908, 358, 999, 205 on a calculator?

You can find the GCD of 908, 358, 999, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.