GCD of 589, 616, 382, 150 Calculator

Given Input numbers are 589, 616, 382, 150

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 589, 616, 382, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 616, 382, 150 is 1.

Therefore, GCD of numbers 589, 616, 382, 150 is 1

Given Input Data is 589, 616, 382, 150

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 382 is 2 x 191

Prime Factorization of 150 is 2 x 3 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, 616) = 362824

GCD(589, 616) = ( 589 x 616 ) / 362824

GCD(589, 616) = 362824 / 362824

GCD(589, 616) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 589, 616, 382, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 163, 192, 565
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1. What is the GCD of 589, 616, 382, 150?

GCD of 589, 616, 382, 150 is 1

2. Where do I get the detailed procedure to find GCD of 589, 616, 382, 150?

You can find a detailed procedure to find GCD of 589, 616, 382, 150 on our page.

3. How to find GCD of 589, 616, 382, 150 on a calculator?

You can find the GCD of 589, 616, 382, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.