GCD of 27, 72, 11, 40 Calculator

Given Input numbers are 27, 72, 11, 40

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 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 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Greatest Common Divisior

We found the divisors of 27, 72, 11, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 72, 11, 40 is 1.

Therefore, GCD of numbers 27, 72, 11, 40 is 1

Given Input Data is 27, 72, 11, 40

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 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 11 is 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

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, 72) = 216

GCD(27, 72) = ( 27 x 72 ) / 216

GCD(27, 72) = 1944 / 216

GCD(27, 72) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 11

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

LCM(9, 11) = 99

GCD(9, 11) = ( 9 x 11 ) / 99

GCD(9, 11) = 99 / 99

GCD(9, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

GCD of 27, 72, 11, 40 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 48, 69, 87
• GCD of 50, 87, 56, 18
• GCD of 54, 11, 39, 83
• GCD of 40, 42, 11, 46
• GCD of 69, 28, 45, 27

1. What is the GCD of 27, 72, 11, 40?

GCD of 27, 72, 11, 40 is 1

2. Where do I get the detailed procedure to find GCD of 27, 72, 11, 40?

You can find a detailed procedure to find GCD of 27, 72, 11, 40 on our page.

3. How to find GCD of 27, 72, 11, 40 on a calculator?

You can find the GCD of 27, 72, 11, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.