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, 832, 483, 960 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 832, 483, 960 is 1
GCD(822, 832, 483, 960) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 832, 483, 960 is 1
GCD(822, 832, 483, 960) = 1
Given Input numbers are 822, 832, 483, 960
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 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 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Greatest Common Divisior
We found the divisors of 822, 832, 483, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 832, 483, 960 is 1.
Therefore, GCD of numbers 822, 832, 483, 960 is 1
Given Input Data is 822, 832, 483, 960
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 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
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, 832) = 341952
GCD(822, 832) = ( 822 x 832 ) / 341952
GCD(822, 832) = 683904 / 341952
GCD(822, 832) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 483) = 966
GCD(2, 483) = ( 2 x 483 ) / 966
GCD(2, 483) = 966 / 966
GCD(2, 483) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
GCD(1, 960) = 960 / 960
GCD(1, 960) = 1
GCD of 822, 832, 483, 960 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 832, 483, 960?
GCD of 822, 832, 483, 960 is 1
2. Where do I get the detailed procedure to find GCD of 822, 832, 483, 960?
You can find a detailed procedure to find GCD of 822, 832, 483, 960 on our page.
3. How to find GCD of 822, 832, 483, 960 on a calculator?
You can find the GCD of 822, 832, 483, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.