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 190, 165, 27, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 190, 165, 27, 518 is 1
GCD(190, 165, 27, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 190, 165, 27, 518 is 1
GCD(190, 165, 27, 518) = 1
Given Input numbers are 190, 165, 27, 518
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 190, 165, 27, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 165, 27, 518 is 1.
Therefore, GCD of numbers 190, 165, 27, 518 is 1
Given Input Data is 190, 165, 27, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 518 is 2 x 7 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(190, 165) = 6270
GCD(190, 165) = ( 190 x 165 ) / 6270
GCD(190, 165) = 31350 / 6270
GCD(190, 165) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 27) = 135
GCD(5, 27) = ( 5 x 27 ) / 135
GCD(5, 27) = 135 / 135
GCD(5, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
GCD of 190, 165, 27, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 190, 165, 27, 518?
GCD of 190, 165, 27, 518 is 1
2. Where do I get the detailed procedure to find GCD of 190, 165, 27, 518?
You can find a detailed procedure to find GCD of 190, 165, 27, 518 on our page.
3. How to find GCD of 190, 165, 27, 518 on a calculator?
You can find the GCD of 190, 165, 27, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.