GCD of 30, 6, 68, 19 Calculator

Given Input numbers are 30, 6, 68, 19

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 30, 6, 68, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 6, 68, 19 is 1.

Therefore, GCD of numbers 30, 6, 68, 19 is 1

Given Input Data is 30, 6, 68, 19

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 6 is 2 x 3

Prime Factorization of 68 is 2 x 2 x 17

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(30, 6) = 30

GCD(30, 6) = ( 30 x 6 ) / 30

GCD(30, 6) = 180 / 30

GCD(30, 6) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 68

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

LCM(6, 68) = 204

GCD(6, 68) = ( 6 x 68 ) / 204

GCD(6, 68) = 408 / 204

GCD(6, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

GCD of 30, 6, 68, 19 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 8, 94, 13
• GCD of 82, 5, 15, 74
• GCD of 84, 1, 44, 91
• GCD of 90, 2, 37, 84
• GCD of 71, 4, 25, 78

1. What is the GCD of 30, 6, 68, 19?

GCD of 30, 6, 68, 19 is 1

2. Where do I get the detailed procedure to find GCD of 30, 6, 68, 19?

You can find a detailed procedure to find GCD of 30, 6, 68, 19 on our page.

3. How to find GCD of 30, 6, 68, 19 on a calculator?

You can find the GCD of 30, 6, 68, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.