GCD of 216, 589, 802, 380 Calculator

Given Input numbers are 216, 589, 802, 380

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 589

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

1, 19, 31, 589

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 216, 589, 802, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 589, 802, 380 is 1.

Therefore, GCD of numbers 216, 589, 802, 380 is 1

Given Input Data is 216, 589, 802, 380

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 589 is 19 x 31

Prime Factorization of 802 is 2 x 401

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(216, 589) = 127224

GCD(216, 589) = ( 216 x 589 ) / 127224

GCD(216, 589) = 127224 / 127224

GCD(216, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 216, 589, 802, 380 is 1

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1. What is the GCD of 216, 589, 802, 380?

GCD of 216, 589, 802, 380 is 1

2. Where do I get the detailed procedure to find GCD of 216, 589, 802, 380?

You can find a detailed procedure to find GCD of 216, 589, 802, 380 on our page.

3. How to find GCD of 216, 589, 802, 380 on a calculator?

You can find the GCD of 216, 589, 802, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.