GCD of 15, 81, 35, 38 Calculator

Given Input numbers are 15, 81, 35, 38

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 38

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

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 15, 81, 35, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 81, 35, 38 is 1.

Therefore, GCD of numbers 15, 81, 35, 38 is 1

Given Input Data is 15, 81, 35, 38

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

Prime Factorization of 15 is 3 x 5

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 38 is 2 x 19

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(15, 81) = 405

GCD(15, 81) = ( 15 x 81 ) / 405

GCD(15, 81) = 1215 / 405

GCD(15, 81) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 35

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

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

GCD(3, 35) = 105 / 105

GCD(3, 35) = 1

Step3:

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

GCD of 15, 81, 35, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 22, 24, 73
• GCD of 25, 38, 51, 10
• GCD of 81, 63, 11, 43
• GCD of 38, 93, 24, 78
• GCD of 30, 22, 20, 28

1. What is the GCD of 15, 81, 35, 38?

GCD of 15, 81, 35, 38 is 1

2. Where do I get the detailed procedure to find GCD of 15, 81, 35, 38?

You can find a detailed procedure to find GCD of 15, 81, 35, 38 on our page.

3. How to find GCD of 15, 81, 35, 38 on a calculator?

You can find the GCD of 15, 81, 35, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.