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 882, 917, 96 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 917, 96 is 1
GCD(882, 917, 96) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 917, 96 is 1
GCD(882, 917, 96) = 1
Given Input numbers are 882, 917, 96
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Greatest Common Divisior
We found the divisors of 882, 917, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 917, 96 is 1.
Therefore, GCD of numbers 882, 917, 96 is 1
Given Input Data is 882, 917, 96
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 917 is 7 x 131
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 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(882, 917) = 115542
GCD(882, 917) = ( 882 x 917 ) / 115542
GCD(882, 917) = 808794 / 115542
GCD(882, 917) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 96) = 672
GCD(7, 96) = ( 7 x 96 ) / 672
GCD(7, 96) = 672 / 672
GCD(7, 96) = 1
GCD of 882, 917, 96 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 917, 96?
GCD of 882, 917, 96 is 1
2. Where do I get the detailed procedure to find GCD of 882, 917, 96?
You can find a detailed procedure to find GCD of 882, 917, 96 on our page.
3. How to find GCD of 882, 917, 96 on a calculator?
You can find the GCD of 882, 917, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.