GCD of 589, 319, 290, 400 Calculator

Given Input numbers are 589, 319, 290, 400

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 589, 319, 290, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 319, 290, 400 is 1.

Therefore, GCD of numbers 589, 319, 290, 400 is 1

Given Input Data is 589, 319, 290, 400

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 319 is 11 x 29

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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, 319) = 187891

GCD(589, 319) = ( 589 x 319 ) / 187891

GCD(589, 319) = 187891 / 187891

GCD(589, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 589, 319, 290, 400 is 1

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1. What is the GCD of 589, 319, 290, 400?

GCD of 589, 319, 290, 400 is 1

2. Where do I get the detailed procedure to find GCD of 589, 319, 290, 400?

You can find a detailed procedure to find GCD of 589, 319, 290, 400 on our page.

3. How to find GCD of 589, 319, 290, 400 on a calculator?

You can find the GCD of 589, 319, 290, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.