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 916, 832, 82, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 832, 82, 917 is 1
GCD(916, 832, 82, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 832, 82, 917 is 1
GCD(916, 832, 82, 917) = 1
Given Input numbers are 916, 832, 82, 917
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 916, 832, 82, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 832, 82, 917 is 1.
Therefore, GCD of numbers 916, 832, 82, 917 is 1
Given Input Data is 916, 832, 82, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 82 is 2 x 41
Prime Factorization of 917 is 7 x 131
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(916, 832) = 190528
GCD(916, 832) = ( 916 x 832 ) / 190528
GCD(916, 832) = 762112 / 190528
GCD(916, 832) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 82) = 164
GCD(4, 82) = ( 4 x 82 ) / 164
GCD(4, 82) = 328 / 164
GCD(4, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 917) = 1834
GCD(2, 917) = ( 2 x 917 ) / 1834
GCD(2, 917) = 1834 / 1834
GCD(2, 917) = 1
GCD of 916, 832, 82, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 832, 82, 917?
GCD of 916, 832, 82, 917 is 1
2. Where do I get the detailed procedure to find GCD of 916, 832, 82, 917?
You can find a detailed procedure to find GCD of 916, 832, 82, 917 on our page.
3. How to find GCD of 916, 832, 82, 917 on a calculator?
You can find the GCD of 916, 832, 82, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.