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, 341, 245, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 341, 245, 366 is 1
GCD(432, 341, 245, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 341, 245, 366 is 1
GCD(432, 341, 245, 366) = 1
Given Input numbers are 432, 341, 245, 366
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 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 432, 341, 245, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 341, 245, 366 is 1.
Therefore, GCD of numbers 432, 341, 245, 366 is 1
Given Input Data is 432, 341, 245, 366
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 341 is 11 x 31
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 366 is 2 x 3 x 61
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, 341) = 147312
GCD(432, 341) = ( 432 x 341 ) / 147312
GCD(432, 341) = 147312 / 147312
GCD(432, 341) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 432, 341, 245, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 341, 245, 366?
GCD of 432, 341, 245, 366 is 1
2. Where do I get the detailed procedure to find GCD of 432, 341, 245, 366?
You can find a detailed procedure to find GCD of 432, 341, 245, 366 on our page.
3. How to find GCD of 432, 341, 245, 366 on a calculator?
You can find the GCD of 432, 341, 245, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.