GCD of 10, 855, 551, 999 Calculator

Given Input numbers are 10, 855, 551, 999

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 10, 855, 551, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 855, 551, 999 is 1.

Therefore, GCD of numbers 10, 855, 551, 999 is 1

Given Input Data is 10, 855, 551, 999

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 551 is 19 x 29

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(10, 855) = 1710

GCD(10, 855) = ( 10 x 855 ) / 1710

GCD(10, 855) = 8550 / 1710

GCD(10, 855) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 551

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

LCM(5, 551) = 2755

GCD(5, 551) = ( 5 x 551 ) / 2755

GCD(5, 551) = 2755 / 2755

GCD(5, 551) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 10, 855, 551, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 188, 929, 328
• GCD of 68, 617, 245, 999
• GCD of 43, 762, 695, 632
• GCD of 59, 100, 790, 916
• GCD of 57, 402, 282, 541

1. What is the GCD of 10, 855, 551, 999?

GCD of 10, 855, 551, 999 is 1

2. Where do I get the detailed procedure to find GCD of 10, 855, 551, 999?

You can find a detailed procedure to find GCD of 10, 855, 551, 999 on our page.

3. How to find GCD of 10, 855, 551, 999 on a calculator?

You can find the GCD of 10, 855, 551, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.