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 168, 462, 19, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 462, 19, 555 is 1
GCD(168, 462, 19, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 462, 19, 555 is 1
GCD(168, 462, 19, 555) = 1
Given Input numbers are 168, 462, 19, 555
To find the GCD of numbers using factoring list out all the divisors of each number
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 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 168, 462, 19, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 462, 19, 555 is 1.
Therefore, GCD of numbers 168, 462, 19, 555 is 1
Given Input Data is 168, 462, 19, 555
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 19 is 19
Prime Factorization of 555 is 3 x 5 x 37
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(168, 462) = 1848
GCD(168, 462) = ( 168 x 462 ) / 1848
GCD(168, 462) = 77616 / 1848
GCD(168, 462) = 42
Step2:
Here we consider the GCD from the above i.e. 42 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(42, 19) = 798
GCD(42, 19) = ( 42 x 19 ) / 798
GCD(42, 19) = 798 / 798
GCD(42, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 555) = 555
GCD(1, 555) = ( 1 x 555 ) / 555
GCD(1, 555) = 555 / 555
GCD(1, 555) = 1
GCD of 168, 462, 19, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 462, 19, 555?
GCD of 168, 462, 19, 555 is 1
2. Where do I get the detailed procedure to find GCD of 168, 462, 19, 555?
You can find a detailed procedure to find GCD of 168, 462, 19, 555 on our page.
3. How to find GCD of 168, 462, 19, 555 on a calculator?
You can find the GCD of 168, 462, 19, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.