GCD of 42, 81, 31, 82 Calculator

Given Input numbers are 42, 81, 31, 82

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

Divisors of 42

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

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

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 42, 81, 31, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 81, 31, 82 is 1.

Therefore, GCD of numbers 42, 81, 31, 82 is 1

Given Input Data is 42, 81, 31, 82

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

Prime Factorization of 42 is 2 x 3 x 7

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

Prime Factorization of 31 is 31

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(42, 81) = 1134

GCD(42, 81) = ( 42 x 81 ) / 1134

GCD(42, 81) = 3402 / 1134

GCD(42, 81) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 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 42, 81, 31, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 67, 39, 62
• GCD of 55, 64, 75, 51
• GCD of 68, 40, 92, 83
• GCD of 59, 89, 13, 61
• GCD of 10, 53, 74, 33

1. What is the GCD of 42, 81, 31, 82?

GCD of 42, 81, 31, 82 is 1

2. Where do I get the detailed procedure to find GCD of 42, 81, 31, 82?

You can find a detailed procedure to find GCD of 42, 81, 31, 82 on our page.

3. How to find GCD of 42, 81, 31, 82 on a calculator?

You can find the GCD of 42, 81, 31, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.