GCD of 184, 332, 589, 440 Calculator

Given Input numbers are 184, 332, 589, 440

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 589

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

1, 19, 31, 589

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 184, 332, 589, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 332, 589, 440 is 1.

Therefore, GCD of numbers 184, 332, 589, 440 is 1

Given Input Data is 184, 332, 589, 440

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 589 is 19 x 31

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(184, 332) = 15272

GCD(184, 332) = ( 184 x 332 ) / 15272

GCD(184, 332) = 61088 / 15272

GCD(184, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 589

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

LCM(4, 589) = 2356

GCD(4, 589) = ( 4 x 589 ) / 2356

GCD(4, 589) = 2356 / 2356

GCD(4, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 184, 332, 589, 440 is 1

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1. What is the GCD of 184, 332, 589, 440?

GCD of 184, 332, 589, 440 is 1

2. Where do I get the detailed procedure to find GCD of 184, 332, 589, 440?

You can find a detailed procedure to find GCD of 184, 332, 589, 440 on our page.

3. How to find GCD of 184, 332, 589, 440 on a calculator?

You can find the GCD of 184, 332, 589, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.