GCD of 809, 189, 664, 229 Calculator

Given Input numbers are 809, 189, 664, 229

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 809, 189, 664, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 189, 664, 229 is 1.

Therefore, GCD of numbers 809, 189, 664, 229 is 1

Given Input Data is 809, 189, 664, 229

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

Prime Factorization of 809 is 809

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 229 is 229

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, 189) = 152901

GCD(809, 189) = ( 809 x 189 ) / 152901

GCD(809, 189) = 152901 / 152901

GCD(809, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 809, 189, 664, 229 is 1

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1. What is the GCD of 809, 189, 664, 229?

GCD of 809, 189, 664, 229 is 1

2. Where do I get the detailed procedure to find GCD of 809, 189, 664, 229?

You can find a detailed procedure to find GCD of 809, 189, 664, 229 on our page.

3. How to find GCD of 809, 189, 664, 229 on a calculator?

You can find the GCD of 809, 189, 664, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.