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 816, 155, 890, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 155, 890, 129 is 1
GCD(816, 155, 890, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 155, 890, 129 is 1
GCD(816, 155, 890, 129) = 1
Given Input numbers are 816, 155, 890, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Greatest Common Divisior
We found the divisors of 816, 155, 890, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 155, 890, 129 is 1.
Therefore, GCD of numbers 816, 155, 890, 129 is 1
Given Input Data is 816, 155, 890, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 155 is 5 x 31
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 129 is 3 x 43
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(816, 155) = 126480
GCD(816, 155) = ( 816 x 155 ) / 126480
GCD(816, 155) = 126480 / 126480
GCD(816, 155) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
GCD(1, 890) = 890 / 890
GCD(1, 890) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
GCD of 816, 155, 890, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 155, 890, 129?
GCD of 816, 155, 890, 129 is 1
2. Where do I get the detailed procedure to find GCD of 816, 155, 890, 129?
You can find a detailed procedure to find GCD of 816, 155, 890, 129 on our page.
3. How to find GCD of 816, 155, 890, 129 on a calculator?
You can find the GCD of 816, 155, 890, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.