GCD of 644, 809, 22, 345 Calculator

Given Input numbers are 644, 809, 22, 345

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 809

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

1, 809

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 644, 809, 22, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 809, 22, 345 is 1.

Therefore, GCD of numbers 644, 809, 22, 345 is 1

Given Input Data is 644, 809, 22, 345

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 809 is 809

Prime Factorization of 22 is 2 x 11

Prime Factorization of 345 is 3 x 5 x 23

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(644, 809) = 520996

GCD(644, 809) = ( 644 x 809 ) / 520996

GCD(644, 809) = 520996 / 520996

GCD(644, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 644, 809, 22, 345 is 1

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1. What is the GCD of 644, 809, 22, 345?

GCD of 644, 809, 22, 345 is 1

2. Where do I get the detailed procedure to find GCD of 644, 809, 22, 345?

You can find a detailed procedure to find GCD of 644, 809, 22, 345 on our page.

3. How to find GCD of 644, 809, 22, 345 on a calculator?

You can find the GCD of 644, 809, 22, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.