GCD of 16, 42, 81, 51 Calculator

Given Input numbers are 16, 42, 81, 51

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 42

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

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

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 16, 42, 81, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 42, 81, 51 is 1.

Therefore, GCD of numbers 16, 42, 81, 51 is 1

Given Input Data is 16, 42, 81, 51

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 42 is 2 x 3 x 7

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

Prime Factorization of 51 is 3 x 17

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(16, 42) = 336

GCD(16, 42) = ( 16 x 42 ) / 336

GCD(16, 42) = 672 / 336

GCD(16, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

GCD of 16, 42, 81, 51 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 70, 20, 91
• GCD of 47, 57, 53, 77
• GCD of 38, 58, 17, 19
• GCD of 63, 77, 21, 84
• GCD of 23, 58, 91, 29

1. What is the GCD of 16, 42, 81, 51?

GCD of 16, 42, 81, 51 is 1

2. Where do I get the detailed procedure to find GCD of 16, 42, 81, 51?

You can find a detailed procedure to find GCD of 16, 42, 81, 51 on our page.

3. How to find GCD of 16, 42, 81, 51 on a calculator?

You can find the GCD of 16, 42, 81, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.