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, 198, 72 i.e. 1 largest integer that divides all the numbers equally.
GCD of 241, 198, 72 is 1
GCD(241, 198, 72) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 241, 198, 72 is 1
GCD(241, 198, 72) = 1
Given Input numbers are 241, 198, 72
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 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Greatest Common Divisior
We found the divisors of 241, 198, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 198, 72 is 1.
Therefore, GCD of numbers 241, 198, 72 is 1
Given Input Data is 241, 198, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 241 is 241
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
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, 198) = 47718
GCD(241, 198) = ( 241 x 198 ) / 47718
GCD(241, 198) = 47718 / 47718
GCD(241, 198) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
GCD of 241, 198, 72 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 241, 198, 72?
GCD of 241, 198, 72 is 1
2. Where do I get the detailed procedure to find GCD of 241, 198, 72?
You can find a detailed procedure to find GCD of 241, 198, 72 on our page.
3. How to find GCD of 241, 198, 72 on a calculator?
You can find the GCD of 241, 198, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.