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 432, 411, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 411, 241 is 1
GCD(432, 411, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 411, 241 is 1
GCD(432, 411, 241) = 1
Given Input numbers are 432, 411, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 432, 411, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 411, 241 is 1.
Therefore, GCD of numbers 432, 411, 241 is 1
Given Input Data is 432, 411, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 411 is 3 x 137
Prime Factorization of 241 is 241
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(432, 411) = 59184
GCD(432, 411) = ( 432 x 411 ) / 59184
GCD(432, 411) = 177552 / 59184
GCD(432, 411) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 241) = 723
GCD(3, 241) = ( 3 x 241 ) / 723
GCD(3, 241) = 723 / 723
GCD(3, 241) = 1
GCD of 432, 411, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 411, 241?
GCD of 432, 411, 241 is 1
2. Where do I get the detailed procedure to find GCD of 432, 411, 241?
You can find a detailed procedure to find GCD of 432, 411, 241 on our page.
3. How to find GCD of 432, 411, 241 on a calculator?
You can find the GCD of 432, 411, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.