GCD of 19, 41, 12, 16 Calculator

Given Input numbers are 19, 41, 12, 16

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

Divisors of 19

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

1, 19

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 16

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

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 19, 41, 12, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 41, 12, 16 is 1.

Therefore, GCD of numbers 19, 41, 12, 16 is 1

Given Input Data is 19, 41, 12, 16

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

Prime Factorization of 19 is 19

Prime Factorization of 41 is 41

Prime Factorization of 12 is 2 x 2 x 3

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

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(19, 41) = 779

GCD(19, 41) = ( 19 x 41 ) / 779

GCD(19, 41) = 779 / 779

GCD(19, 41) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

GCD of 19, 41, 12, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 41, 56, 37
• GCD of 25, 30, 30, 90
• GCD of 38, 21, 95, 84
• GCD of 16, 19, 97, 90
• GCD of 96, 78, 72, 89

1. What is the GCD of 19, 41, 12, 16?

GCD of 19, 41, 12, 16 is 1

2. Where do I get the detailed procedure to find GCD of 19, 41, 12, 16?

You can find a detailed procedure to find GCD of 19, 41, 12, 16 on our page.

3. How to find GCD of 19, 41, 12, 16 on a calculator?

You can find the GCD of 19, 41, 12, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.