GCD of 19, 12, 82, 21 Calculator

Given Input numbers are 19, 12, 82, 21

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 82

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

1, 2, 41, 82

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 19, 12, 82, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 12, 82, 21 is 1.

Therefore, GCD of numbers 19, 12, 82, 21 is 1

Given Input Data is 19, 12, 82, 21

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

Prime Factorization of 19 is 19

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 82 is 2 x 41

Prime Factorization of 21 is 3 x 7

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(19, 12) = 228

GCD(19, 12) = ( 19 x 12 ) / 228

GCD(19, 12) = 228 / 228

GCD(19, 12) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 19, 12, 82, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 75, 31, 22
• GCD of 83, 78, 35, 37
• GCD of 28, 71, 91, 27
• GCD of 16, 76, 67, 70
• GCD of 60, 41, 54, 74

1. What is the GCD of 19, 12, 82, 21?

GCD of 19, 12, 82, 21 is 1

2. Where do I get the detailed procedure to find GCD of 19, 12, 82, 21?

You can find a detailed procedure to find GCD of 19, 12, 82, 21 on our page.

3. How to find GCD of 19, 12, 82, 21 on a calculator?

You can find the GCD of 19, 12, 82, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.