GCD of 16, 68, 72, 38 Calculator

Given Input numbers are 16, 68, 72, 38

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 16, 68, 72, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 68, 72, 38 is 2.

Therefore, GCD of numbers 16, 68, 72, 38 is 2

Given Input Data is 16, 68, 72, 38

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

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 38 is 2 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(16, 68) = 272

GCD(16, 68) = ( 16 x 68 ) / 272

GCD(16, 68) = 1088 / 272

GCD(16, 68) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

GCD of 16, 68, 72, 38 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 96, 13, 11
• GCD of 37, 30, 34, 91
• GCD of 71, 35, 74, 78
• GCD of 18, 99, 27, 52
• GCD of 24, 86, 21, 95

1. What is the GCD of 16, 68, 72, 38?

GCD of 16, 68, 72, 38 is 2

2. Where do I get the detailed procedure to find GCD of 16, 68, 72, 38?

You can find a detailed procedure to find GCD of 16, 68, 72, 38 on our page.

3. How to find GCD of 16, 68, 72, 38 on a calculator?

You can find the GCD of 16, 68, 72, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.