GCD of 81, 66, 37, 31 Calculator

Given Input numbers are 81, 66, 37, 31

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

Divisors of 81

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

1, 3, 9, 27, 81

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 31

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

1, 31

Greatest Common Divisior

We found the divisors of 81, 66, 37, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 66, 37, 31 is 1.

Therefore, GCD of numbers 81, 66, 37, 31 is 1

Given Input Data is 81, 66, 37, 31

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

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 37 is 37

Prime Factorization of 31 is 31

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(81, 66) = 1782

GCD(81, 66) = ( 81 x 66 ) / 1782

GCD(81, 66) = 5346 / 1782

GCD(81, 66) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 81, 66, 37, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 28, 49, 90
• GCD of 76, 24, 79, 42
• GCD of 68, 41, 62, 68
• GCD of 90, 85, 87, 61
• GCD of 35, 11, 95, 80

1. What is the GCD of 81, 66, 37, 31?

GCD of 81, 66, 37, 31 is 1

2. Where do I get the detailed procedure to find GCD of 81, 66, 37, 31?

You can find a detailed procedure to find GCD of 81, 66, 37, 31 on our page.

3. How to find GCD of 81, 66, 37, 31 on a calculator?

You can find the GCD of 81, 66, 37, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.