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 824, 431, 335, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 431, 335, 366 is 1
GCD(824, 431, 335, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 431, 335, 366 is 1
GCD(824, 431, 335, 366) = 1
Given Input numbers are 824, 431, 335, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 824, 431, 335, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 431, 335, 366 is 1.
Therefore, GCD of numbers 824, 431, 335, 366 is 1
Given Input Data is 824, 431, 335, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 431 is 431
Prime Factorization of 335 is 5 x 67
Prime Factorization of 366 is 2 x 3 x 61
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(824, 431) = 355144
GCD(824, 431) = ( 824 x 431 ) / 355144
GCD(824, 431) = 355144 / 355144
GCD(824, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 824, 431, 335, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 431, 335, 366?
GCD of 824, 431, 335, 366 is 1
2. Where do I get the detailed procedure to find GCD of 824, 431, 335, 366?
You can find a detailed procedure to find GCD of 824, 431, 335, 366 on our page.
3. How to find GCD of 824, 431, 335, 366 on a calculator?
You can find the GCD of 824, 431, 335, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.