GCD of 27, 34, 72 Calculator

Given Input numbers are 27, 34, 72

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 27, 34, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 34, 72 is 1.

Therefore, GCD of numbers 27, 34, 72 is 1

Given Input Data is 27, 34, 72

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 34 is 2 x 17

Prime Factorization of 72 is 2 x 2 x 2 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(27, 34) = 918

GCD(27, 34) = ( 27 x 34 ) / 918

GCD(27, 34) = 918 / 918

GCD(27, 34) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

GCD of 27, 34, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 17, 36
• GCD of 67, 14, 28
• GCD of 30, 86, 67
• GCD of 91, 93, 79
• GCD of 55, 71, 10

1. What is the GCD of 27, 34, 72?

GCD of 27, 34, 72 is 1

2. Where do I get the detailed procedure to find GCD of 27, 34, 72?

You can find a detailed procedure to find GCD of 27, 34, 72 on our page.

3. How to find GCD of 27, 34, 72 on a calculator?

You can find the GCD of 27, 34, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.