GCD of 39, 56, 82, 21 Calculator

Given Input numbers are 39, 56, 82, 21

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 39, 56, 82, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 56, 82, 21 is 1.

Therefore, GCD of numbers 39, 56, 82, 21 is 1

Given Input Data is 39, 56, 82, 21

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(39, 56) = 2184

GCD(39, 56) = ( 39 x 56 ) / 2184

GCD(39, 56) = 2184 / 2184

GCD(39, 56) = 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 39, 56, 82, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 63, 23, 69
• GCD of 42, 14, 13, 37
• GCD of 75, 72, 50, 50
• GCD of 38, 50, 96, 86
• GCD of 95, 33, 12, 91

1. What is the GCD of 39, 56, 82, 21?

GCD of 39, 56, 82, 21 is 1

2. Where do I get the detailed procedure to find GCD of 39, 56, 82, 21?

You can find a detailed procedure to find GCD of 39, 56, 82, 21 on our page.

3. How to find GCD of 39, 56, 82, 21 on a calculator?

You can find the GCD of 39, 56, 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.