GCD of 566, 809, 642, 669 Calculator

Given Input numbers are 566, 809, 642, 669

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 809

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

1, 809

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 566, 809, 642, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 809, 642, 669 is 1.

Therefore, GCD of numbers 566, 809, 642, 669 is 1

Given Input Data is 566, 809, 642, 669

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 809 is 809

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 669 is 3 x 223

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(566, 809) = 457894

GCD(566, 809) = ( 566 x 809 ) / 457894

GCD(566, 809) = 457894 / 457894

GCD(566, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 566, 809, 642, 669 is 1

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1. What is the GCD of 566, 809, 642, 669?

GCD of 566, 809, 642, 669 is 1

2. Where do I get the detailed procedure to find GCD of 566, 809, 642, 669?

You can find a detailed procedure to find GCD of 566, 809, 642, 669 on our page.

3. How to find GCD of 566, 809, 642, 669 on a calculator?

You can find the GCD of 566, 809, 642, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.