GCD of 80, 38, 81, 82 Calculator

Given Input numbers are 80, 38, 81, 82

To find the GCD of numbers using factoring list out all the divisors of each number

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 80, 38, 81, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 38, 81, 82 is 1.

Therefore, GCD of numbers 80, 38, 81, 82 is 1

Given Input Data is 80, 38, 81, 82

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 38 is 2 x 19

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 82 is 2 x 41

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(80, 38) = 1520

GCD(80, 38) = ( 80 x 38 ) / 1520

GCD(80, 38) = 3040 / 1520

GCD(80, 38) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 80, 38, 81, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 94, 73, 95
• GCD of 96, 90, 50, 87
• GCD of 52, 15, 33, 84
• GCD of 33, 97, 65, 45
• GCD of 31, 17, 59, 39

1. What is the GCD of 80, 38, 81, 82?

GCD of 80, 38, 81, 82 is 1

2. Where do I get the detailed procedure to find GCD of 80, 38, 81, 82?

You can find a detailed procedure to find GCD of 80, 38, 81, 82 on our page.

3. How to find GCD of 80, 38, 81, 82 on a calculator?

You can find the GCD of 80, 38, 81, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.