GCD of 27, 12, 68, 79 Calculator

Given Input numbers are 27, 12, 68, 79

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Greatest Common Divisior

We found the divisors of 27, 12, 68, 79 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 12, 68, 79 is 1.

Therefore, GCD of numbers 27, 12, 68, 79 is 1

Given Input Data is 27, 12, 68, 79

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 12 is 2 x 2 x 3

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 79 is 79

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, 12) = 108

GCD(27, 12) = ( 27 x 12 ) / 108

GCD(27, 12) = 324 / 108

GCD(27, 12) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 68

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

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

GCD(3, 68) = 204 / 204

GCD(3, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

GCD of 27, 12, 68, 79 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 35, 38, 30
• GCD of 66, 62, 31, 64
• GCD of 74, 49, 72, 97
• GCD of 43, 71, 58, 86
• GCD of 46, 78, 36, 19

1. What is the GCD of 27, 12, 68, 79?

GCD of 27, 12, 68, 79 is 1

2. Where do I get the detailed procedure to find GCD of 27, 12, 68, 79?

You can find a detailed procedure to find GCD of 27, 12, 68, 79 on our page.

3. How to find GCD of 27, 12, 68, 79 on a calculator?

You can find the GCD of 27, 12, 68, 79 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.