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 413, 385, 393, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 385, 393, 845 is 1
GCD(413, 385, 393, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 385, 393, 845 is 1
GCD(413, 385, 393, 845) = 1
Given Input numbers are 413, 385, 393, 845
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 413, 385, 393, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 385, 393, 845 is 1.
Therefore, GCD of numbers 413, 385, 393, 845 is 1
Given Input Data is 413, 385, 393, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 393 is 3 x 131
Prime Factorization of 845 is 5 x 13 x 13
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(413, 385) = 22715
GCD(413, 385) = ( 413 x 385 ) / 22715
GCD(413, 385) = 159005 / 22715
GCD(413, 385) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 393) = 2751
GCD(7, 393) = ( 7 x 393 ) / 2751
GCD(7, 393) = 2751 / 2751
GCD(7, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 1
GCD of 413, 385, 393, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 385, 393, 845?
GCD of 413, 385, 393, 845 is 1
2. Where do I get the detailed procedure to find GCD of 413, 385, 393, 845?
You can find a detailed procedure to find GCD of 413, 385, 393, 845 on our page.
3. How to find GCD of 413, 385, 393, 845 on a calculator?
You can find the GCD of 413, 385, 393, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.