GCD of 13, 216, 775, 899 Calculator

Given Input numbers are 13, 216, 775, 899

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

Divisors of 13

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

1, 13

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 13, 216, 775, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 216, 775, 899 is 1.

Therefore, GCD of numbers 13, 216, 775, 899 is 1

Given Input Data is 13, 216, 775, 899

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

Prime Factorization of 13 is 13

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 899 is 29 x 31

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(13, 216) = 2808

GCD(13, 216) = ( 13 x 216 ) / 2808

GCD(13, 216) = 2808 / 2808

GCD(13, 216) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 13, 216, 775, 899 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 592, 418, 872
• GCD of 95, 945, 192, 132
• GCD of 64, 878, 695, 513
• GCD of 64, 155, 454, 665
• GCD of 67, 847, 760, 732

1. What is the GCD of 13, 216, 775, 899?

GCD of 13, 216, 775, 899 is 1

2. Where do I get the detailed procedure to find GCD of 13, 216, 775, 899?

You can find a detailed procedure to find GCD of 13, 216, 775, 899 on our page.

3. How to find GCD of 13, 216, 775, 899 on a calculator?

You can find the GCD of 13, 216, 775, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.