GCD of 205, 872, 816 Calculator

Given Input numbers are 205, 872, 816

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

Divisors of 205

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

1, 5, 41, 205

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 205, 872, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 872, 816 is 1.

Therefore, GCD of numbers 205, 872, 816 is 1

Given Input Data is 205, 872, 816

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(205, 872) = 178760

GCD(205, 872) = ( 205 x 872 ) / 178760

GCD(205, 872) = 178760 / 178760

GCD(205, 872) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 205, 872, 816 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 349, 696
• GCD of 124, 334, 554
• GCD of 886, 448, 139
• GCD of 404, 173, 234
• GCD of 418, 660, 565

1. What is the GCD of 205, 872, 816?

GCD of 205, 872, 816 is 1

2. Where do I get the detailed procedure to find GCD of 205, 872, 816?

You can find a detailed procedure to find GCD of 205, 872, 816 on our page.

3. How to find GCD of 205, 872, 816 on a calculator?

You can find the GCD of 205, 872, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.