GCD of 84, 96, 16, 13 Calculator

Given Input numbers are 84, 96, 16, 13

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

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 13

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

1, 13

Greatest Common Divisior

We found the divisors of 84, 96, 16, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 96, 16, 13 is 1.

Therefore, GCD of numbers 84, 96, 16, 13 is 1

Given Input Data is 84, 96, 16, 13

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

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 13 is 13

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(84, 96) = 672

GCD(84, 96) = ( 84 x 96 ) / 672

GCD(84, 96) = 8064 / 672

GCD(84, 96) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 16

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

LCM(12, 16) = 48

GCD(12, 16) = ( 12 x 16 ) / 48

GCD(12, 16) = 192 / 48

GCD(12, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 13

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

LCM(4, 13) = 52

GCD(4, 13) = ( 4 x 13 ) / 52

GCD(4, 13) = 52 / 52

GCD(4, 13) = 1

GCD of 84, 96, 16, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 26, 80, 61
• GCD of 34, 84, 92, 56
• GCD of 34, 40, 16, 70
• GCD of 15, 76, 20, 96
• GCD of 78, 25, 80, 11

1. What is the GCD of 84, 96, 16, 13?

GCD of 84, 96, 16, 13 is 1

2. Where do I get the detailed procedure to find GCD of 84, 96, 16, 13?

You can find a detailed procedure to find GCD of 84, 96, 16, 13 on our page.

3. How to find GCD of 84, 96, 16, 13 on a calculator?

You can find the GCD of 84, 96, 16, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.