GCD of 27, 31, 38, 66 Calculator

Given Input numbers are 27, 31, 38, 66

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 27, 31, 38, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 31, 38, 66 is 1.

Therefore, GCD of numbers 27, 31, 38, 66 is 1

Given Input Data is 27, 31, 38, 66

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 31 is 31

Prime Factorization of 38 is 2 x 19

Prime Factorization of 66 is 2 x 3 x 11

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, 31) = 837

GCD(27, 31) = ( 27 x 31 ) / 837

GCD(27, 31) = 837 / 837

GCD(27, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 27, 31, 38, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 81, 79, 71
• GCD of 73, 82, 93, 78
• GCD of 19, 46, 40, 49
• GCD of 32, 66, 33, 95
• GCD of 58, 84, 12, 88

1. What is the GCD of 27, 31, 38, 66?

GCD of 27, 31, 38, 66 is 1

2. Where do I get the detailed procedure to find GCD of 27, 31, 38, 66?

You can find a detailed procedure to find GCD of 27, 31, 38, 66 on our page.

3. How to find GCD of 27, 31, 38, 66 on a calculator?

You can find the GCD of 27, 31, 38, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.