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, 193, 368, 854 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 193, 368, 854 is 1
GCD(432, 193, 368, 854) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 193, 368, 854 is 1
GCD(432, 193, 368, 854) = 1
Given Input numbers are 432, 193, 368, 854
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 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Greatest Common Divisior
We found the divisors of 432, 193, 368, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 193, 368, 854 is 1.
Therefore, GCD of numbers 432, 193, 368, 854 is 1
Given Input Data is 432, 193, 368, 854
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 193 is 193
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 854 is 2 x 7 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, 193) = 83376
GCD(432, 193) = ( 432 x 193 ) / 83376
GCD(432, 193) = 83376 / 83376
GCD(432, 193) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
GCD of 432, 193, 368, 854 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 193, 368, 854?
GCD of 432, 193, 368, 854 is 1
2. Where do I get the detailed procedure to find GCD of 432, 193, 368, 854?
You can find a detailed procedure to find GCD of 432, 193, 368, 854 on our page.
3. How to find GCD of 432, 193, 368, 854 on a calculator?
You can find the GCD of 432, 193, 368, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.