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 195, 993, 58, 433 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 993, 58, 433 is 1
GCD(195, 993, 58, 433) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 993, 58, 433 is 1
GCD(195, 993, 58, 433) = 1
Given Input numbers are 195, 993, 58, 433
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Greatest Common Divisior
We found the divisors of 195, 993, 58, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 993, 58, 433 is 1.
Therefore, GCD of numbers 195, 993, 58, 433 is 1
Given Input Data is 195, 993, 58, 433
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 993 is 3 x 331
Prime Factorization of 58 is 2 x 29
Prime Factorization of 433 is 433
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(195, 993) = 64545
GCD(195, 993) = ( 195 x 993 ) / 64545
GCD(195, 993) = 193635 / 64545
GCD(195, 993) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 58) = 174
GCD(3, 58) = ( 3 x 58 ) / 174
GCD(3, 58) = 174 / 174
GCD(3, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 433) = 433
GCD(1, 433) = ( 1 x 433 ) / 433
GCD(1, 433) = 433 / 433
GCD(1, 433) = 1
GCD of 195, 993, 58, 433 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 993, 58, 433?
GCD of 195, 993, 58, 433 is 1
2. Where do I get the detailed procedure to find GCD of 195, 993, 58, 433?
You can find a detailed procedure to find GCD of 195, 993, 58, 433 on our page.
3. How to find GCD of 195, 993, 58, 433 on a calculator?
You can find the GCD of 195, 993, 58, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.