GCD of 36, 81, 67, 42 Calculator

Given Input numbers are 36, 81, 67, 42

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 36, 81, 67, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 81, 67, 42 is 1.

Therefore, GCD of numbers 36, 81, 67, 42 is 1

Given Input Data is 36, 81, 67, 42

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Prime Factorization of 67 is 67

Prime Factorization of 42 is 2 x 3 x 7

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(36, 81) = 324

GCD(36, 81) = ( 36 x 81 ) / 324

GCD(36, 81) = 2916 / 324

GCD(36, 81) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 67

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

LCM(9, 67) = 603

GCD(9, 67) = ( 9 x 67 ) / 603

GCD(9, 67) = 603 / 603

GCD(9, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 36, 81, 67, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 38, 25, 74
• GCD of 67, 80, 92, 53
• GCD of 75, 39, 58, 11
• GCD of 43, 42, 66, 11
• GCD of 76, 95, 98, 35

1. What is the GCD of 36, 81, 67, 42?

GCD of 36, 81, 67, 42 is 1

2. Where do I get the detailed procedure to find GCD of 36, 81, 67, 42?

You can find a detailed procedure to find GCD of 36, 81, 67, 42 on our page.

3. How to find GCD of 36, 81, 67, 42 on a calculator?

You can find the GCD of 36, 81, 67, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.