GCD of 228, 599, 821 Calculator

Given Input numbers are 228, 599, 821

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 228, 599, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 599, 821 is 1.

Therefore, GCD of numbers 228, 599, 821 is 1

Given Input Data is 228, 599, 821

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 599 is 599

Prime Factorization of 821 is 821

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(228, 599) = 136572

GCD(228, 599) = ( 228 x 599 ) / 136572

GCD(228, 599) = 136572 / 136572

GCD(228, 599) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 228, 599, 821 is 1

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1. What is the GCD of 228, 599, 821?

GCD of 228, 599, 821 is 1

2. Where do I get the detailed procedure to find GCD of 228, 599, 821?

You can find a detailed procedure to find GCD of 228, 599, 821 on our page.

3. How to find GCD of 228, 599, 821 on a calculator?

You can find the GCD of 228, 599, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.