GCD of 82, 21, 65, 36 Calculator

Given Input numbers are 82, 21, 65, 36

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

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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

Greatest Common Divisior

We found the divisors of 82, 21, 65, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 21, 65, 36 is 1.

Therefore, GCD of numbers 82, 21, 65, 36 is 1

Given Input Data is 82, 21, 65, 36

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 21 is 3 x 7

Prime Factorization of 65 is 5 x 13

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

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(82, 21) = 1722

GCD(82, 21) = ( 82 x 21 ) / 1722

GCD(82, 21) = 1722 / 1722

GCD(82, 21) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

GCD of 82, 21, 65, 36 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 39, 98, 85
• GCD of 63, 53, 39, 81
• GCD of 19, 75, 36, 15
• GCD of 29, 60, 83, 93
• GCD of 37, 37, 93, 67

1. What is the GCD of 82, 21, 65, 36?

GCD of 82, 21, 65, 36 is 1

2. Where do I get the detailed procedure to find GCD of 82, 21, 65, 36?

You can find a detailed procedure to find GCD of 82, 21, 65, 36 on our page.

3. How to find GCD of 82, 21, 65, 36 on a calculator?

You can find the GCD of 82, 21, 65, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.