GCD of 19, 75, 42, 84 Calculator

Given Input numbers are 19, 75, 42, 84

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 19, 75, 42, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 75, 42, 84 is 1.

Therefore, GCD of numbers 19, 75, 42, 84 is 1

Given Input Data is 19, 75, 42, 84

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

Prime Factorization of 19 is 19

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

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, 75) = 1425

GCD(19, 75) = ( 19 x 75 ) / 1425

GCD(19, 75) = 1425 / 1425

GCD(19, 75) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 19, 75, 42, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 58, 66, 67
• GCD of 35, 31, 36, 67
• GCD of 89, 95, 70, 80
• GCD of 17, 24, 29, 89
• GCD of 98, 51, 23, 50

1. What is the GCD of 19, 75, 42, 84?

GCD of 19, 75, 42, 84 is 1

2. Where do I get the detailed procedure to find GCD of 19, 75, 42, 84?

You can find a detailed procedure to find GCD of 19, 75, 42, 84 on our page.

3. How to find GCD of 19, 75, 42, 84 on a calculator?

You can find the GCD of 19, 75, 42, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.