GCD of 855, 387, 72 Calculator

Given Input numbers are 855, 387, 72

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

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 855, 387, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 387, 72 is 9.

Therefore, GCD of numbers 855, 387, 72 is 9

Given Input Data is 855, 387, 72

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

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(855, 387) = 36765

GCD(855, 387) = ( 855 x 387 ) / 36765

GCD(855, 387) = 330885 / 36765

GCD(855, 387) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 72

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

LCM(9, 72) = 72

GCD(9, 72) = ( 9 x 72 ) / 72

GCD(9, 72) = 648 / 72

GCD(9, 72) = 9

GCD of 855, 387, 72 is 9

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1. What is the GCD of 855, 387, 72?

GCD of 855, 387, 72 is 9

2. Where do I get the detailed procedure to find GCD of 855, 387, 72?

You can find a detailed procedure to find GCD of 855, 387, 72 on our page.

3. How to find GCD of 855, 387, 72 on a calculator?

You can find the GCD of 855, 387, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.