GCD of 24, 42, 19 Calculator

Given Input numbers are 24, 42, 19

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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 19

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

1, 19

Greatest Common Divisior

We found the divisors of 24, 42, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 42, 19 is 1.

Therefore, GCD of numbers 24, 42, 19 is 1

Given Input Data is 24, 42, 19

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 19 is 19

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(24, 42) = 168

GCD(24, 42) = ( 24 x 42 ) / 168

GCD(24, 42) = 1008 / 168

GCD(24, 42) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 19

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

LCM(6, 19) = 114

GCD(6, 19) = ( 6 x 19 ) / 114

GCD(6, 19) = 114 / 114

GCD(6, 19) = 1

GCD of 24, 42, 19 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 27, 13
• GCD of 11, 75, 57
• GCD of 83, 62, 42
• GCD of 30, 96, 35
• GCD of 64, 51, 76

1. What is the GCD of 24, 42, 19?

GCD of 24, 42, 19 is 1

2. Where do I get the detailed procedure to find GCD of 24, 42, 19?

You can find a detailed procedure to find GCD of 24, 42, 19 on our page.

3. How to find GCD of 24, 42, 19 on a calculator?

You can find the GCD of 24, 42, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.