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 821, 605, 40, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 605, 40, 327 is 1
GCD(821, 605, 40, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 605, 40, 327 is 1
GCD(821, 605, 40, 327) = 1
Given Input numbers are 821, 605, 40, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 821, 605, 40, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 605, 40, 327 is 1.
Therefore, GCD of numbers 821, 605, 40, 327 is 1
Given Input Data is 821, 605, 40, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 327 is 3 x 109
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(821, 605) = 496705
GCD(821, 605) = ( 821 x 605 ) / 496705
GCD(821, 605) = 496705 / 496705
GCD(821, 605) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 327) = 327
GCD(1, 327) = ( 1 x 327 ) / 327
GCD(1, 327) = 327 / 327
GCD(1, 327) = 1
GCD of 821, 605, 40, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 605, 40, 327?
GCD of 821, 605, 40, 327 is 1
2. Where do I get the detailed procedure to find GCD of 821, 605, 40, 327?
You can find a detailed procedure to find GCD of 821, 605, 40, 327 on our page.
3. How to find GCD of 821, 605, 40, 327 on a calculator?
You can find the GCD of 821, 605, 40, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.