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 168, 428, 422, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 428, 422, 855 is 1
GCD(168, 428, 422, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 428, 422, 855 is 1
GCD(168, 428, 422, 855) = 1
Given Input numbers are 168, 428, 422, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
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
Greatest Common Divisior
We found the divisors of 168, 428, 422, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 428, 422, 855 is 1.
Therefore, GCD of numbers 168, 428, 422, 855 is 1
Given Input Data is 168, 428, 422, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 422 is 2 x 211
Prime Factorization of 855 is 3 x 3 x 5 x 19
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(168, 428) = 17976
GCD(168, 428) = ( 168 x 428 ) / 17976
GCD(168, 428) = 71904 / 17976
GCD(168, 428) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 422) = 844
GCD(4, 422) = ( 4 x 422 ) / 844
GCD(4, 422) = 1688 / 844
GCD(4, 422) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 855) = 1710
GCD(2, 855) = ( 2 x 855 ) / 1710
GCD(2, 855) = 1710 / 1710
GCD(2, 855) = 1
GCD of 168, 428, 422, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 428, 422, 855?
GCD of 168, 428, 422, 855 is 1
2. Where do I get the detailed procedure to find GCD of 168, 428, 422, 855?
You can find a detailed procedure to find GCD of 168, 428, 422, 855 on our page.
3. How to find GCD of 168, 428, 422, 855 on a calculator?
You can find the GCD of 168, 428, 422, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.