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 383, 413, 459, 825 i.e. 1 largest integer that divides all the numbers equally.
GCD of 383, 413, 459, 825 is 1
GCD(383, 413, 459, 825) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 383, 413, 459, 825 is 1
GCD(383, 413, 459, 825) = 1
Given Input numbers are 383, 413, 459, 825
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Greatest Common Divisior
We found the divisors of 383, 413, 459, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 413, 459, 825 is 1.
Therefore, GCD of numbers 383, 413, 459, 825 is 1
Given Input Data is 383, 413, 459, 825
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 383 is 383
Prime Factorization of 413 is 7 x 59
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 825 is 3 x 5 x 5 x 11
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(383, 413) = 158179
GCD(383, 413) = ( 383 x 413 ) / 158179
GCD(383, 413) = 158179 / 158179
GCD(383, 413) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
GCD of 383, 413, 459, 825 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 383, 413, 459, 825?
GCD of 383, 413, 459, 825 is 1
2. Where do I get the detailed procedure to find GCD of 383, 413, 459, 825?
You can find a detailed procedure to find GCD of 383, 413, 459, 825 on our page.
3. How to find GCD of 383, 413, 459, 825 on a calculator?
You can find the GCD of 383, 413, 459, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.