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 484, 423, 21, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 484, 423, 21, 327 is 1
GCD(484, 423, 21, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 484, 423, 21, 327 is 1
GCD(484, 423, 21, 327) = 1
Given Input numbers are 484, 423, 21, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
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 484, 423, 21, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 423, 21, 327 is 1.
Therefore, GCD of numbers 484, 423, 21, 327 is 1
Given Input Data is 484, 423, 21, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 21 is 3 x 7
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(484, 423) = 204732
GCD(484, 423) = ( 484 x 423 ) / 204732
GCD(484, 423) = 204732 / 204732
GCD(484, 423) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 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 484, 423, 21, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 484, 423, 21, 327?
GCD of 484, 423, 21, 327 is 1
2. Where do I get the detailed procedure to find GCD of 484, 423, 21, 327?
You can find a detailed procedure to find GCD of 484, 423, 21, 327 on our page.
3. How to find GCD of 484, 423, 21, 327 on a calculator?
You can find the GCD of 484, 423, 21, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.