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, 585, 66, 927 i.e. 3 largest integer that divides all the numbers equally.
GCD of 882, 585, 66, 927 is 3
GCD(882, 585, 66, 927) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 585, 66, 927 is 3
GCD(882, 585, 66, 927) = 3
Given Input numbers are 882, 585, 66, 927
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 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Greatest Common Divisior
We found the divisors of 882, 585, 66, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 585, 66, 927 is 3.
Therefore, GCD of numbers 882, 585, 66, 927 is 3
Given Input Data is 882, 585, 66, 927
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 585 is 3 x 3 x 5 x 13
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 927 is 3 x 3 x 103
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 585) = 57330
GCD(882, 585) = ( 882 x 585 ) / 57330
GCD(882, 585) = 515970 / 57330
GCD(882, 585) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 66) = 198
GCD(9, 66) = ( 9 x 66 ) / 198
GCD(9, 66) = 594 / 198
GCD(9, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 927
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 927) = 927
GCD(3, 927) = ( 3 x 927 ) / 927
GCD(3, 927) = 2781 / 927
GCD(3, 927) = 3
GCD of 882, 585, 66, 927 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 585, 66, 927?
GCD of 882, 585, 66, 927 is 3
2. Where do I get the detailed procedure to find GCD of 882, 585, 66, 927?
You can find a detailed procedure to find GCD of 882, 585, 66, 927 on our page.
3. How to find GCD of 882, 585, 66, 927 on a calculator?
You can find the GCD of 882, 585, 66, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.