GCD of 19, 45, 15, 16 Calculator

Given Input numbers are 19, 45, 15, 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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 15

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

1, 3, 5, 15

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, 45, 15, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 45, 15, 16 is 1.

Therefore, GCD of numbers 19, 45, 15, 16 is 1

Given Input Data is 19, 45, 15, 16

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

Prime Factorization of 19 is 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 15 is 3 x 5

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, 45) = 855

GCD(19, 45) = ( 19 x 45 ) / 855

GCD(19, 45) = 855 / 855

GCD(19, 45) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 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, 45, 15, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 57, 73, 43
• GCD of 55, 12, 48, 14
• GCD of 22, 18, 16, 86
• GCD of 96, 46, 69, 84
• GCD of 26, 41, 20, 90

1. What is the GCD of 19, 45, 15, 16?

GCD of 19, 45, 15, 16 is 1

2. Where do I get the detailed procedure to find GCD of 19, 45, 15, 16?

You can find a detailed procedure to find GCD of 19, 45, 15, 16 on our page.

3. How to find GCD of 19, 45, 15, 16 on a calculator?

You can find the GCD of 19, 45, 15, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.