GCD of 798, 304, 205 Calculator

Given Input numbers are 798, 304, 205

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 798, 304, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 304, 205 is 1.

Therefore, GCD of numbers 798, 304, 205 is 1

Given Input Data is 798, 304, 205

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(798, 304) = 6384

GCD(798, 304) = ( 798 x 304 ) / 6384

GCD(798, 304) = 242592 / 6384

GCD(798, 304) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 205

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

LCM(38, 205) = 7790

GCD(38, 205) = ( 38 x 205 ) / 7790

GCD(38, 205) = 7790 / 7790

GCD(38, 205) = 1

GCD of 798, 304, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 272, 914
• GCD of 898, 231, 414
• GCD of 304, 178, 401
• GCD of 380, 571, 110
• GCD of 284, 323, 816

1. What is the GCD of 798, 304, 205?

GCD of 798, 304, 205 is 1

2. Where do I get the detailed procedure to find GCD of 798, 304, 205?

You can find a detailed procedure to find GCD of 798, 304, 205 on our page.

3. How to find GCD of 798, 304, 205 on a calculator?

You can find the GCD of 798, 304, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.