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 241, 999, 188, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 241, 999, 188, 165 is 1
GCD(241, 999, 188, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 241, 999, 188, 165 is 1
GCD(241, 999, 188, 165) = 1
Given Input numbers are 241, 999, 188, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 241, 999, 188, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 999, 188, 165 is 1.
Therefore, GCD of numbers 241, 999, 188, 165 is 1
Given Input Data is 241, 999, 188, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 241 is 241
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 165 is 3 x 5 x 11
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(241, 999) = 240759
GCD(241, 999) = ( 241 x 999 ) / 240759
GCD(241, 999) = 240759 / 240759
GCD(241, 999) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
GCD of 241, 999, 188, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 241, 999, 188, 165?
GCD of 241, 999, 188, 165 is 1
2. Where do I get the detailed procedure to find GCD of 241, 999, 188, 165?
You can find a detailed procedure to find GCD of 241, 999, 188, 165 on our page.
3. How to find GCD of 241, 999, 188, 165 on a calculator?
You can find the GCD of 241, 999, 188, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.