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 823, 396, 357, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 396, 357, 697 is 1
GCD(823, 396, 357, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 396, 357, 697 is 1
GCD(823, 396, 357, 697) = 1
Given Input numbers are 823, 396, 357, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 823, 396, 357, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 396, 357, 697 is 1.
Therefore, GCD of numbers 823, 396, 357, 697 is 1
Given Input Data is 823, 396, 357, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 697 is 17 x 41
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(823, 396) = 325908
GCD(823, 396) = ( 823 x 396 ) / 325908
GCD(823, 396) = 325908 / 325908
GCD(823, 396) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 823, 396, 357, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 823, 396, 357, 697?
GCD of 823, 396, 357, 697 is 1
2. Where do I get the detailed procedure to find GCD of 823, 396, 357, 697?
You can find a detailed procedure to find GCD of 823, 396, 357, 697 on our page.
3. How to find GCD of 823, 396, 357, 697 on a calculator?
You can find the GCD of 823, 396, 357, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.