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 813, 792, 964, 282 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 792, 964, 282 is 1
GCD(813, 792, 964, 282) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 792, 964, 282 is 1
GCD(813, 792, 964, 282) = 1
Given Input numbers are 813, 792, 964, 282
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Greatest Common Divisior
We found the divisors of 813, 792, 964, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 792, 964, 282 is 1.
Therefore, GCD of numbers 813, 792, 964, 282 is 1
Given Input Data is 813, 792, 964, 282
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 282 is 2 x 3 x 47
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(813, 792) = 214632
GCD(813, 792) = ( 813 x 792 ) / 214632
GCD(813, 792) = 643896 / 214632
GCD(813, 792) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 964) = 2892
GCD(3, 964) = ( 3 x 964 ) / 2892
GCD(3, 964) = 2892 / 2892
GCD(3, 964) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
GCD(1, 282) = 282 / 282
GCD(1, 282) = 1
GCD of 813, 792, 964, 282 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 792, 964, 282?
GCD of 813, 792, 964, 282 is 1
2. Where do I get the detailed procedure to find GCD of 813, 792, 964, 282?
You can find a detailed procedure to find GCD of 813, 792, 964, 282 on our page.
3. How to find GCD of 813, 792, 964, 282 on a calculator?
You can find the GCD of 813, 792, 964, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.