GCD of 28, 13, 16, 42 Calculator

Given Input numbers are 28, 13, 16, 42

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 28, 13, 16, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 13, 16, 42 is 1.

Therefore, GCD of numbers 28, 13, 16, 42 is 1

Given Input Data is 28, 13, 16, 42

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 13 is 13

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

Prime Factorization of 42 is 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(28, 13) = 364

GCD(28, 13) = ( 28 x 13 ) / 364

GCD(28, 13) = 364 / 364

GCD(28, 13) = 1

Step2:

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

Step3:

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

GCD of 28, 13, 16, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 36, 19, 77
• GCD of 97, 20, 18, 48
• GCD of 66, 13, 52, 12
• GCD of 68, 66, 65, 55
• GCD of 52, 95, 34, 26

1. What is the GCD of 28, 13, 16, 42?

GCD of 28, 13, 16, 42 is 1

2. Where do I get the detailed procedure to find GCD of 28, 13, 16, 42?

You can find a detailed procedure to find GCD of 28, 13, 16, 42 on our page.

3. How to find GCD of 28, 13, 16, 42 on a calculator?

You can find the GCD of 28, 13, 16, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.