GCD of 888, 105, 13, 828 Calculator

Given Input numbers are 888, 105, 13, 828

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

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 13

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

1, 13

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 888, 105, 13, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 105, 13, 828 is 1.

Therefore, GCD of numbers 888, 105, 13, 828 is 1

Given Input Data is 888, 105, 13, 828

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

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 13 is 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(888, 105) = 31080

GCD(888, 105) = ( 888 x 105 ) / 31080

GCD(888, 105) = 93240 / 31080

GCD(888, 105) = 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 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 888, 105, 13, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 744, 45, 129
• GCD of 603, 721, 33, 637
• GCD of 978, 866, 31, 230
• GCD of 843, 280, 33, 393
• GCD of 494, 314, 65, 241

1. What is the GCD of 888, 105, 13, 828?

GCD of 888, 105, 13, 828 is 1

2. Where do I get the detailed procedure to find GCD of 888, 105, 13, 828?

You can find a detailed procedure to find GCD of 888, 105, 13, 828 on our page.

3. How to find GCD of 888, 105, 13, 828 on a calculator?

You can find the GCD of 888, 105, 13, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.