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, 121, 886, 288 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 121, 886, 288 is 1
GCD(816, 121, 886, 288) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 121, 886, 288 is 1
GCD(816, 121, 886, 288) = 1
Given Input numbers are 816, 121, 886, 288
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 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Greatest Common Divisior
We found the divisors of 816, 121, 886, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 121, 886, 288 is 1.
Therefore, GCD of numbers 816, 121, 886, 288 is 1
Given Input Data is 816, 121, 886, 288
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 121 is 11 x 11
Prime Factorization of 886 is 2 x 443
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
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, 121) = 98736
GCD(816, 121) = ( 816 x 121 ) / 98736
GCD(816, 121) = 98736 / 98736
GCD(816, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 886
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 886) = 886
GCD(1, 886) = ( 1 x 886 ) / 886
GCD(1, 886) = 886 / 886
GCD(1, 886) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
GCD of 816, 121, 886, 288 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 121, 886, 288?
GCD of 816, 121, 886, 288 is 1
2. Where do I get the detailed procedure to find GCD of 816, 121, 886, 288?
You can find a detailed procedure to find GCD of 816, 121, 886, 288 on our page.
3. How to find GCD of 816, 121, 886, 288 on a calculator?
You can find the GCD of 816, 121, 886, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.