GCD of 78, 20, 73, 81 Calculator

Given Input numbers are 78, 20, 73, 81

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 81

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

1, 3, 9, 27, 81

Greatest Common Divisior

We found the divisors of 78, 20, 73, 81 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 20, 73, 81 is 1.

Therefore, GCD of numbers 78, 20, 73, 81 is 1

Given Input Data is 78, 20, 73, 81

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 73 is 73

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

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(78, 20) = 780

GCD(78, 20) = ( 78 x 20 ) / 780

GCD(78, 20) = 1560 / 780

GCD(78, 20) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

GCD of 78, 20, 73, 81 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 40, 54, 49
• GCD of 24, 90, 43, 40
• GCD of 83, 39, 37, 50
• GCD of 49, 78, 68, 52
• GCD of 22, 15, 88, 27

1. What is the GCD of 78, 20, 73, 81?

GCD of 78, 20, 73, 81 is 1

2. Where do I get the detailed procedure to find GCD of 78, 20, 73, 81?

You can find a detailed procedure to find GCD of 78, 20, 73, 81 on our page.

3. How to find GCD of 78, 20, 73, 81 on a calculator?

You can find the GCD of 78, 20, 73, 81 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.