GCD of 81, 71, 30, 74 Calculator

Given Input numbers are 81, 71, 30, 74

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 81, 71, 30, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 71, 30, 74 is 1.

Therefore, GCD of numbers 81, 71, 30, 74 is 1

Given Input Data is 81, 71, 30, 74

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 71 is 71

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 74 is 2 x 37

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, 71) = 5751

GCD(81, 71) = ( 81 x 71 ) / 5751

GCD(81, 71) = 5751 / 5751

GCD(81, 71) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 81, 71, 30, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 90, 37, 89
• GCD of 72, 81, 20, 19
• GCD of 84, 98, 85, 22
• GCD of 45, 63, 35, 75
• GCD of 77, 11, 54, 43

1. What is the GCD of 81, 71, 30, 74?

GCD of 81, 71, 30, 74 is 1

2. Where do I get the detailed procedure to find GCD of 81, 71, 30, 74?

You can find a detailed procedure to find GCD of 81, 71, 30, 74 on our page.

3. How to find GCD of 81, 71, 30, 74 on a calculator?

You can find the GCD of 81, 71, 30, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.