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 323, 455, 46, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 455, 46, 692 is 1
GCD(323, 455, 46, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 455, 46, 692 is 1
GCD(323, 455, 46, 692) = 1
Given Input numbers are 323, 455, 46, 692
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 323, 455, 46, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 455, 46, 692 is 1.
Therefore, GCD of numbers 323, 455, 46, 692 is 1
Given Input Data is 323, 455, 46, 692
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 46 is 2 x 23
Prime Factorization of 692 is 2 x 2 x 173
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(323, 455) = 146965
GCD(323, 455) = ( 323 x 455 ) / 146965
GCD(323, 455) = 146965 / 146965
GCD(323, 455) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 323, 455, 46, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 455, 46, 692?
GCD of 323, 455, 46, 692 is 1
2. Where do I get the detailed procedure to find GCD of 323, 455, 46, 692?
You can find a detailed procedure to find GCD of 323, 455, 46, 692 on our page.
3. How to find GCD of 323, 455, 46, 692 on a calculator?
You can find the GCD of 323, 455, 46, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.