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 235, 180, 73, 239 i.e. 1 largest integer that divides all the numbers equally.
GCD of 235, 180, 73, 239 is 1
GCD(235, 180, 73, 239) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 235, 180, 73, 239 is 1
GCD(235, 180, 73, 239) = 1
Given Input numbers are 235, 180, 73, 239
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
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 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Greatest Common Divisior
We found the divisors of 235, 180, 73, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 180, 73, 239 is 1.
Therefore, GCD of numbers 235, 180, 73, 239 is 1
Given Input Data is 235, 180, 73, 239
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 235 is 5 x 47
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 73 is 73
Prime Factorization of 239 is 239
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(235, 180) = 8460
GCD(235, 180) = ( 235 x 180 ) / 8460
GCD(235, 180) = 42300 / 8460
GCD(235, 180) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 73) = 365
GCD(5, 73) = ( 5 x 73 ) / 365
GCD(5, 73) = 365 / 365
GCD(5, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
GCD(1, 239) = 239 / 239
GCD(1, 239) = 1
GCD of 235, 180, 73, 239 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 235, 180, 73, 239?
GCD of 235, 180, 73, 239 is 1
2. Where do I get the detailed procedure to find GCD of 235, 180, 73, 239?
You can find a detailed procedure to find GCD of 235, 180, 73, 239 on our page.
3. How to find GCD of 235, 180, 73, 239 on a calculator?
You can find the GCD of 235, 180, 73, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.