GCD of 817, 305, 390 Calculator

Given Input numbers are 817, 305, 390

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 817, 305, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 305, 390 is 1.

Therefore, GCD of numbers 817, 305, 390 is 1

Given Input Data is 817, 305, 390

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 305 is 5 x 61

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(817, 305) = 249185

GCD(817, 305) = ( 817 x 305 ) / 249185

GCD(817, 305) = 249185 / 249185

GCD(817, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 817, 305, 390 is 1

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1. What is the GCD of 817, 305, 390?

GCD of 817, 305, 390 is 1

2. Where do I get the detailed procedure to find GCD of 817, 305, 390?

You can find a detailed procedure to find GCD of 817, 305, 390 on our page.

3. How to find GCD of 817, 305, 390 on a calculator?

You can find the GCD of 817, 305, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.