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 855, 509, 99, 556 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 509, 99, 556 is 1
GCD(855, 509, 99, 556) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 509, 99, 556 is 1
GCD(855, 509, 99, 556) = 1
Given Input numbers are 855, 509, 99, 556
To find the GCD of numbers using factoring list out all the divisors of each number
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 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Greatest Common Divisior
We found the divisors of 855, 509, 99, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 509, 99, 556 is 1.
Therefore, GCD of numbers 855, 509, 99, 556 is 1
Given Input Data is 855, 509, 99, 556
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 509 is 509
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 556 is 2 x 2 x 139
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(855, 509) = 435195
GCD(855, 509) = ( 855 x 509 ) / 435195
GCD(855, 509) = 435195 / 435195
GCD(855, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
GCD of 855, 509, 99, 556 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 509, 99, 556?
GCD of 855, 509, 99, 556 is 1
2. Where do I get the detailed procedure to find GCD of 855, 509, 99, 556?
You can find a detailed procedure to find GCD of 855, 509, 99, 556 on our page.
3. How to find GCD of 855, 509, 99, 556 on a calculator?
You can find the GCD of 855, 509, 99, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.