GCD of 809, 195, 694, 559 Calculator

Given Input numbers are 809, 195, 694, 559

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 809, 195, 694, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 195, 694, 559 is 1.

Therefore, GCD of numbers 809, 195, 694, 559 is 1

Given Input Data is 809, 195, 694, 559

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

Prime Factorization of 809 is 809

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 694 is 2 x 347

Prime Factorization of 559 is 13 x 43

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(809, 195) = 157755

GCD(809, 195) = ( 809 x 195 ) / 157755

GCD(809, 195) = 157755 / 157755

GCD(809, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 809, 195, 694, 559 is 1

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1. What is the GCD of 809, 195, 694, 559?

GCD of 809, 195, 694, 559 is 1

2. Where do I get the detailed procedure to find GCD of 809, 195, 694, 559?

You can find a detailed procedure to find GCD of 809, 195, 694, 559 on our page.

3. How to find GCD of 809, 195, 694, 559 on a calculator?

You can find the GCD of 809, 195, 694, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.