GCD of 306, 589, 25, 216 Calculator

Given Input numbers are 306, 589, 25, 216

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 589

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

1, 19, 31, 589

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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

Greatest Common Divisior

We found the divisors of 306, 589, 25, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 589, 25, 216 is 1.

Therefore, GCD of numbers 306, 589, 25, 216 is 1

Given Input Data is 306, 589, 25, 216

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 589 is 19 x 31

Prime Factorization of 25 is 5 x 5

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

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(306, 589) = 180234

GCD(306, 589) = ( 306 x 589 ) / 180234

GCD(306, 589) = 180234 / 180234

GCD(306, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 306, 589, 25, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 294, 17, 708
• GCD of 934, 112, 19, 100
• GCD of 682, 936, 96, 578
• GCD of 521, 116, 46, 761
• GCD of 720, 182, 14, 848

1. What is the GCD of 306, 589, 25, 216?

GCD of 306, 589, 25, 216 is 1

2. Where do I get the detailed procedure to find GCD of 306, 589, 25, 216?

You can find a detailed procedure to find GCD of 306, 589, 25, 216 on our page.

3. How to find GCD of 306, 589, 25, 216 on a calculator?

You can find the GCD of 306, 589, 25, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.