GCD of 82, 27, 66, 42 Calculator

Given Input numbers are 82, 27, 66, 42

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 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 82, 27, 66, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 27, 66, 42 is 1.

Therefore, GCD of numbers 82, 27, 66, 42 is 1

Given Input Data is 82, 27, 66, 42

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 42 is 2 x 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(82, 27) = 2214

GCD(82, 27) = ( 82 x 27 ) / 2214

GCD(82, 27) = 2214 / 2214

GCD(82, 27) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 82, 27, 66, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 63, 30, 24
• GCD of 62, 30, 85, 10
• GCD of 65, 79, 60, 52
• GCD of 44, 12, 53, 13
• GCD of 31, 36, 81, 42

1. What is the GCD of 82, 27, 66, 42?

GCD of 82, 27, 66, 42 is 1

2. Where do I get the detailed procedure to find GCD of 82, 27, 66, 42?

You can find a detailed procedure to find GCD of 82, 27, 66, 42 on our page.

3. How to find GCD of 82, 27, 66, 42 on a calculator?

You can find the GCD of 82, 27, 66, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.