GCD of 204, 111, 42, 796 Calculator

Given Input numbers are 204, 111, 42, 796

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 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 204, 111, 42, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 111, 42, 796 is 1.

Therefore, GCD of numbers 204, 111, 42, 796 is 1

Given Input Data is 204, 111, 42, 796

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 111 is 3 x 37

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 796 is 2 x 2 x 199

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, 111) = 7548

GCD(204, 111) = ( 204 x 111 ) / 7548

GCD(204, 111) = 22644 / 7548

GCD(204, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 796

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

LCM(3, 796) = 2388

GCD(3, 796) = ( 3 x 796 ) / 2388

GCD(3, 796) = 2388 / 2388

GCD(3, 796) = 1

GCD of 204, 111, 42, 796 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 841, 13, 578
• GCD of 519, 394, 79, 763
• GCD of 568, 533, 28, 808
• GCD of 430, 478, 14, 123
• GCD of 303, 167, 79, 785

1. What is the GCD of 204, 111, 42, 796?

GCD of 204, 111, 42, 796 is 1

2. Where do I get the detailed procedure to find GCD of 204, 111, 42, 796?

You can find a detailed procedure to find GCD of 204, 111, 42, 796 on our page.

3. How to find GCD of 204, 111, 42, 796 on a calculator?

You can find the GCD of 204, 111, 42, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.