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 822, 504, 33, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 504, 33, 965 is 1
GCD(822, 504, 33, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 504, 33, 965 is 1
GCD(822, 504, 33, 965) = 1
Given Input numbers are 822, 504, 33, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 822, 504, 33, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 504, 33, 965 is 1.
Therefore, GCD of numbers 822, 504, 33, 965 is 1
Given Input Data is 822, 504, 33, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 33 is 3 x 11
Prime Factorization of 965 is 5 x 193
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(822, 504) = 69048
GCD(822, 504) = ( 822 x 504 ) / 69048
GCD(822, 504) = 414288 / 69048
GCD(822, 504) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 33) = 66
GCD(6, 33) = ( 6 x 33 ) / 66
GCD(6, 33) = 198 / 66
GCD(6, 33) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 965) = 2895
GCD(3, 965) = ( 3 x 965 ) / 2895
GCD(3, 965) = 2895 / 2895
GCD(3, 965) = 1
GCD of 822, 504, 33, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 504, 33, 965?
GCD of 822, 504, 33, 965 is 1
2. Where do I get the detailed procedure to find GCD of 822, 504, 33, 965?
You can find a detailed procedure to find GCD of 822, 504, 33, 965 on our page.
3. How to find GCD of 822, 504, 33, 965 on a calculator?
You can find the GCD of 822, 504, 33, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.