GCD of 27, 38, 30, 80 Calculator

Given Input numbers are 27, 38, 30, 80

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 38

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

1, 2, 19, 38

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Greatest Common Divisior

We found the divisors of 27, 38, 30, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 38, 30, 80 is 1.

Therefore, GCD of numbers 27, 38, 30, 80 is 1

Given Input Data is 27, 38, 30, 80

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 38 is 2 x 19

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 80 is 2 x 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, 38) = 1026

GCD(27, 38) = ( 27 x 38 ) / 1026

GCD(27, 38) = 1026 / 1026

GCD(27, 38) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

GCD of 27, 38, 30, 80 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 18, 54, 56
• GCD of 51, 86, 38, 65
• GCD of 83, 20, 43, 21
• GCD of 45, 24, 53, 38
• GCD of 95, 86, 34, 95

1. What is the GCD of 27, 38, 30, 80?

GCD of 27, 38, 30, 80 is 1

2. Where do I get the detailed procedure to find GCD of 27, 38, 30, 80?

You can find a detailed procedure to find GCD of 27, 38, 30, 80 on our page.

3. How to find GCD of 27, 38, 30, 80 on a calculator?

You can find the GCD of 27, 38, 30, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.