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 629, 468, 392, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 629, 468, 392, 321 is 1
GCD(629, 468, 392, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 629, 468, 392, 321 is 1
GCD(629, 468, 392, 321) = 1
Given Input numbers are 629, 468, 392, 321
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 629, 468, 392, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 468, 392, 321 is 1.
Therefore, GCD of numbers 629, 468, 392, 321 is 1
Given Input Data is 629, 468, 392, 321
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 629 is 17 x 37
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 321 is 3 x 107
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(629, 468) = 294372
GCD(629, 468) = ( 629 x 468 ) / 294372
GCD(629, 468) = 294372 / 294372
GCD(629, 468) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 629, 468, 392, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 629, 468, 392, 321?
GCD of 629, 468, 392, 321 is 1
2. Where do I get the detailed procedure to find GCD of 629, 468, 392, 321?
You can find a detailed procedure to find GCD of 629, 468, 392, 321 on our page.
3. How to find GCD of 629, 468, 392, 321 on a calculator?
You can find the GCD of 629, 468, 392, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.