Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 10, 855, 551, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 855, 551, 999 is 1
GCD(10, 855, 551, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 855, 551, 999 is 1
GCD(10, 855, 551, 999) = 1
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.
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.