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, 108, 80, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 108, 80, 995 is 1
GCD(882, 108, 80, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 108, 80, 995 is 1
GCD(882, 108, 80, 995) = 1
Given Input numbers are 882, 108, 80, 995
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 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 882, 108, 80, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 108, 80, 995 is 1.
Therefore, GCD of numbers 882, 108, 80, 995 is 1
Given Input Data is 882, 108, 80, 995
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 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 995 is 5 x 199
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, 108) = 5292
GCD(882, 108) = ( 882 x 108 ) / 5292
GCD(882, 108) = 95256 / 5292
GCD(882, 108) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 80) = 720
GCD(18, 80) = ( 18 x 80 ) / 720
GCD(18, 80) = 1440 / 720
GCD(18, 80) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 995) = 1990
GCD(2, 995) = ( 2 x 995 ) / 1990
GCD(2, 995) = 1990 / 1990
GCD(2, 995) = 1
GCD of 882, 108, 80, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 108, 80, 995?
GCD of 882, 108, 80, 995 is 1
2. Where do I get the detailed procedure to find GCD of 882, 108, 80, 995?
You can find a detailed procedure to find GCD of 882, 108, 80, 995 on our page.
3. How to find GCD of 882, 108, 80, 995 on a calculator?
You can find the GCD of 882, 108, 80, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.