GCD of 16, 19, 44, 51 Calculator

Given Input numbers are 16, 19, 44, 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 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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, 19, 44, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 19, 44, 51 is 1.

Therefore, GCD of numbers 16, 19, 44, 51 is 1

Given Input Data is 16, 19, 44, 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 19 is 19

Prime Factorization of 44 is 2 x 2 x 11

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, 19) = 304

GCD(16, 19) = ( 16 x 19 ) / 304

GCD(16, 19) = 304 / 304

GCD(16, 19) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 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, 19, 44, 51 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 84, 22, 53
• GCD of 75, 68, 31, 99
• GCD of 25, 11, 79, 55
• GCD of 76, 73, 54, 42
• GCD of 70, 61, 71, 24

1. What is the GCD of 16, 19, 44, 51?

GCD of 16, 19, 44, 51 is 1

2. Where do I get the detailed procedure to find GCD of 16, 19, 44, 51?

You can find a detailed procedure to find GCD of 16, 19, 44, 51 on our page.

3. How to find GCD of 16, 19, 44, 51 on a calculator?

You can find the GCD of 16, 19, 44, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.