GCD of 84, 36, 81, 83 Calculator

Given Input numbers are 84, 36, 81, 83

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 84, 36, 81, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 36, 81, 83 is 1.

Therefore, GCD of numbers 84, 36, 81, 83 is 1

Given Input Data is 84, 36, 81, 83

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Prime Factorization of 83 is 83

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(84, 36) = 252

GCD(84, 36) = ( 84 x 36 ) / 252

GCD(84, 36) = 3024 / 252

GCD(84, 36) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 81

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

LCM(12, 81) = 324

GCD(12, 81) = ( 12 x 81 ) / 324

GCD(12, 81) = 972 / 324

GCD(12, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

GCD of 84, 36, 81, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 13, 43, 19
• GCD of 17, 99, 88, 21
• GCD of 64, 76, 41, 17
• GCD of 95, 88, 76, 77
• GCD of 52, 19, 18, 88

1. What is the GCD of 84, 36, 81, 83?

GCD of 84, 36, 81, 83 is 1

2. Where do I get the detailed procedure to find GCD of 84, 36, 81, 83?

You can find a detailed procedure to find GCD of 84, 36, 81, 83 on our page.

3. How to find GCD of 84, 36, 81, 83 on a calculator?

You can find the GCD of 84, 36, 81, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.