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 403, 322, 387, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 403, 322, 387, 961 is 1
GCD(403, 322, 387, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 403, 322, 387, 961 is 1
GCD(403, 322, 387, 961) = 1
Given Input numbers are 403, 322, 387, 961
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 403, 322, 387, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 322, 387, 961 is 1.
Therefore, GCD of numbers 403, 322, 387, 961 is 1
Given Input Data is 403, 322, 387, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 403 is 13 x 31
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 961 is 31 x 31
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(403, 322) = 129766
GCD(403, 322) = ( 403 x 322 ) / 129766
GCD(403, 322) = 129766 / 129766
GCD(403, 322) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
GCD of 403, 322, 387, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 403, 322, 387, 961?
GCD of 403, 322, 387, 961 is 1
2. Where do I get the detailed procedure to find GCD of 403, 322, 387, 961?
You can find a detailed procedure to find GCD of 403, 322, 387, 961 on our page.
3. How to find GCD of 403, 322, 387, 961 on a calculator?
You can find the GCD of 403, 322, 387, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.