GCD of 589, 358, 828 Calculator

Given Input numbers are 589, 358, 828

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 589, 358, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 358, 828 is 1.

Therefore, GCD of numbers 589, 358, 828 is 1

Given Input Data is 589, 358, 828

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 358 is 2 x 179

Prime Factorization of 828 is 2 x 2 x 3 x 3 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(589, 358) = 210862

GCD(589, 358) = ( 589 x 358 ) / 210862

GCD(589, 358) = 210862 / 210862

GCD(589, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 589, 358, 828 is 1

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1. What is the GCD of 589, 358, 828?

GCD of 589, 358, 828 is 1

2. Where do I get the detailed procedure to find GCD of 589, 358, 828?

You can find a detailed procedure to find GCD of 589, 358, 828 on our page.

3. How to find GCD of 589, 358, 828 on a calculator?

You can find the GCD of 589, 358, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.