GCD of 36, 306, 321, 855 Calculator

Given Input numbers are 36, 306, 321, 855

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 36, 306, 321, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 306, 321, 855 is 3.

Therefore, GCD of numbers 36, 306, 321, 855 is 3

Given Input Data is 36, 306, 321, 855

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 855 is 3 x 3 x 5 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(36, 306) = 612

GCD(36, 306) = ( 36 x 306 ) / 612

GCD(36, 306) = 11016 / 612

GCD(36, 306) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 321

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

LCM(18, 321) = 1926

GCD(18, 321) = ( 18 x 321 ) / 1926

GCD(18, 321) = 5778 / 1926

GCD(18, 321) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 855

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

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

GCD(3, 855) = 2565 / 855

GCD(3, 855) = 3

GCD of 36, 306, 321, 855 is 3

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• GCD of 91, 995, 399, 165
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• GCD of 82, 604, 162, 300

1. What is the GCD of 36, 306, 321, 855?

GCD of 36, 306, 321, 855 is 3

2. Where do I get the detailed procedure to find GCD of 36, 306, 321, 855?

You can find a detailed procedure to find GCD of 36, 306, 321, 855 on our page.

3. How to find GCD of 36, 306, 321, 855 on a calculator?

You can find the GCD of 36, 306, 321, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.