GCD of 72, 30, 36 Calculator

Given Input numbers are 72, 30, 36

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

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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

Greatest Common Divisior

We found the divisors of 72, 30, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 30, 36 is 6.

Therefore, GCD of numbers 72, 30, 36 is 6

Given Input Data is 72, 30, 36

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

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

Prime Factorization of 30 is 2 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(72, 30) = 360

GCD(72, 30) = ( 72 x 30 ) / 360

GCD(72, 30) = 2160 / 360

GCD(72, 30) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 36

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

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

GCD(6, 36) = 216 / 36

GCD(6, 36) = 6

GCD of 72, 30, 36 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 42, 46
• GCD of 19, 62, 10
• GCD of 96, 87, 61
• GCD of 47, 95, 52
• GCD of 62, 10, 37

1. What is the GCD of 72, 30, 36?

GCD of 72, 30, 36 is 6

2. Where do I get the detailed procedure to find GCD of 72, 30, 36?

You can find a detailed procedure to find GCD of 72, 30, 36 on our page.

3. How to find GCD of 72, 30, 36 on a calculator?

You can find the GCD of 72, 30, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.