GCD of 15, 63, 13, 16 Calculator

Given Input numbers are 15, 63, 13, 16

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

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

Greatest Common Divisior

We found the divisors of 15, 63, 13, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 63, 13, 16 is 1.

Therefore, GCD of numbers 15, 63, 13, 16 is 1

Given Input Data is 15, 63, 13, 16

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 13 is 13

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

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(15, 63) = 315

GCD(15, 63) = ( 15 x 63 ) / 315

GCD(15, 63) = 945 / 315

GCD(15, 63) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

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

GCD of 15, 63, 13, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 76, 25, 31
• GCD of 60, 40, 39, 50
• GCD of 93, 61, 64, 56
• GCD of 85, 37, 70, 96
• GCD of 87, 59, 11, 44

1. What is the GCD of 15, 63, 13, 16?

GCD of 15, 63, 13, 16 is 1

2. Where do I get the detailed procedure to find GCD of 15, 63, 13, 16?

You can find a detailed procedure to find GCD of 15, 63, 13, 16 on our page.

3. How to find GCD of 15, 63, 13, 16 on a calculator?

You can find the GCD of 15, 63, 13, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.