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 19, 333, 168, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 19, 333, 168, 460 is 1
GCD(19, 333, 168, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 19, 333, 168, 460 is 1
GCD(19, 333, 168, 460) = 1
Given Input numbers are 19, 333, 168, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 19, 333, 168, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 333, 168, 460 is 1.
Therefore, GCD of numbers 19, 333, 168, 460 is 1
Given Input Data is 19, 333, 168, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 19 is 19
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 460 is 2 x 2 x 5 x 23
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(19, 333) = 6327
GCD(19, 333) = ( 19 x 333 ) / 6327
GCD(19, 333) = 6327 / 6327
GCD(19, 333) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 19, 333, 168, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 19, 333, 168, 460?
GCD of 19, 333, 168, 460 is 1
2. Where do I get the detailed procedure to find GCD of 19, 333, 168, 460?
You can find a detailed procedure to find GCD of 19, 333, 168, 460 on our page.
3. How to find GCD of 19, 333, 168, 460 on a calculator?
You can find the GCD of 19, 333, 168, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.