GCD of 27, 24, 40, 47 Calculator

Given Input numbers are 27, 24, 40, 47

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 40

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

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Greatest Common Divisior

We found the divisors of 27, 24, 40, 47 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 24, 40, 47 is 1.

Therefore, GCD of numbers 27, 24, 40, 47 is 1

Given Input Data is 27, 24, 40, 47

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 24 is 2 x 2 x 2 x 3

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

Prime Factorization of 47 is 47

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, 24) = 216

GCD(27, 24) = ( 27 x 24 ) / 216

GCD(27, 24) = 648 / 216

GCD(27, 24) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

GCD of 27, 24, 40, 47 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 38, 74, 91
• GCD of 79, 99, 48, 26
• GCD of 92, 63, 48, 98
• GCD of 29, 89, 70, 82
• GCD of 76, 62, 16, 87

1. What is the GCD of 27, 24, 40, 47?

GCD of 27, 24, 40, 47 is 1

2. Where do I get the detailed procedure to find GCD of 27, 24, 40, 47?

You can find a detailed procedure to find GCD of 27, 24, 40, 47 on our page.

3. How to find GCD of 27, 24, 40, 47 on a calculator?

You can find the GCD of 27, 24, 40, 47 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.