GCD of 96, 21, 65, 82 Calculator

Given Input numbers are 96, 21, 65, 82

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 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 96, 21, 65, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 21, 65, 82 is 1.

Therefore, GCD of numbers 96, 21, 65, 82 is 1

Given Input Data is 96, 21, 65, 82

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 21 is 3 x 7

Prime Factorization of 65 is 5 x 13

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(96, 21) = 672

GCD(96, 21) = ( 96 x 21 ) / 672

GCD(96, 21) = 2016 / 672

GCD(96, 21) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 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 96, 21, 65, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 86, 67, 44
• GCD of 79, 10, 79, 57
• GCD of 47, 43, 18, 82
• GCD of 26, 84, 97, 52
• GCD of 22, 72, 93, 15

1. What is the GCD of 96, 21, 65, 82?

GCD of 96, 21, 65, 82 is 1

2. Where do I get the detailed procedure to find GCD of 96, 21, 65, 82?

You can find a detailed procedure to find GCD of 96, 21, 65, 82 on our page.

3. How to find GCD of 96, 21, 65, 82 on a calculator?

You can find the GCD of 96, 21, 65, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.