GCD of 36, 810, 273, 555 Calculator

Given Input numbers are 36, 810, 273, 555

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 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 36, 810, 273, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 810, 273, 555 is 3.

Therefore, GCD of numbers 36, 810, 273, 555 is 3

Given Input Data is 36, 810, 273, 555

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 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 555 is 3 x 5 x 37

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, 810) = 1620

GCD(36, 810) = ( 36 x 810 ) / 1620

GCD(36, 810) = 29160 / 1620

GCD(36, 810) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 273

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

LCM(18, 273) = 1638

GCD(18, 273) = ( 18 x 273 ) / 1638

GCD(18, 273) = 4914 / 1638

GCD(18, 273) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 555

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

LCM(3, 555) = 555

GCD(3, 555) = ( 3 x 555 ) / 555

GCD(3, 555) = 1665 / 555

GCD(3, 555) = 3

GCD of 36, 810, 273, 555 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 920, 306, 224
• GCD of 26, 734, 936, 241
• GCD of 11, 836, 592, 358
• GCD of 88, 600, 440, 815
• GCD of 95, 147, 593, 362

1. What is the GCD of 36, 810, 273, 555?

GCD of 36, 810, 273, 555 is 3

2. Where do I get the detailed procedure to find GCD of 36, 810, 273, 555?

You can find a detailed procedure to find GCD of 36, 810, 273, 555 on our page.

3. How to find GCD of 36, 810, 273, 555 on a calculator?

You can find the GCD of 36, 810, 273, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.