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, 593, 180, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 241, 593, 180, 997 is 1
GCD(241, 593, 180, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 241, 593, 180, 997 is 1
GCD(241, 593, 180, 997) = 1
Given Input numbers are 241, 593, 180, 997
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 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 241, 593, 180, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 593, 180, 997 is 1.
Therefore, GCD of numbers 241, 593, 180, 997 is 1
Given Input Data is 241, 593, 180, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 241 is 241
Prime Factorization of 593 is 593
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 997 is 997
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, 593) = 142913
GCD(241, 593) = ( 241 x 593 ) / 142913
GCD(241, 593) = 142913 / 142913
GCD(241, 593) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 241, 593, 180, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 241, 593, 180, 997?
GCD of 241, 593, 180, 997 is 1
2. Where do I get the detailed procedure to find GCD of 241, 593, 180, 997?
You can find a detailed procedure to find GCD of 241, 593, 180, 997 on our page.
3. How to find GCD of 241, 593, 180, 997 on a calculator?
You can find the GCD of 241, 593, 180, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.