GCD of 81, 23, 38, 65 Calculator

Given Input numbers are 81, 23, 38, 65

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 65

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

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 81, 23, 38, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 23, 38, 65 is 1.

Therefore, GCD of numbers 81, 23, 38, 65 is 1

Given Input Data is 81, 23, 38, 65

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 23 is 23

Prime Factorization of 38 is 2 x 19

Prime Factorization of 65 is 5 x 13

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, 23) = 1863

GCD(81, 23) = ( 81 x 23 ) / 1863

GCD(81, 23) = 1863 / 1863

GCD(81, 23) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

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

GCD of 81, 23, 38, 65 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 30, 87, 70
• GCD of 97, 94, 96, 58
• GCD of 74, 33, 82, 39
• GCD of 72, 66, 34, 85
• GCD of 14, 15, 71, 13

1. What is the GCD of 81, 23, 38, 65?

GCD of 81, 23, 38, 65 is 1

2. Where do I get the detailed procedure to find GCD of 81, 23, 38, 65?

You can find a detailed procedure to find GCD of 81, 23, 38, 65 on our page.

3. How to find GCD of 81, 23, 38, 65 on a calculator?

You can find the GCD of 81, 23, 38, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.