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 165, 197, 52, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 165, 197, 52, 993 is 1
GCD(165, 197, 52, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 165, 197, 52, 993 is 1
GCD(165, 197, 52, 993) = 1
Given Input numbers are 165, 197, 52, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 165, 197, 52, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 197, 52, 993 is 1.
Therefore, GCD of numbers 165, 197, 52, 993 is 1
Given Input Data is 165, 197, 52, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 197 is 197
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 993 is 3 x 331
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(165, 197) = 32505
GCD(165, 197) = ( 165 x 197 ) / 32505
GCD(165, 197) = 32505 / 32505
GCD(165, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 165, 197, 52, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 165, 197, 52, 993?
GCD of 165, 197, 52, 993 is 1
2. Where do I get the detailed procedure to find GCD of 165, 197, 52, 993?
You can find a detailed procedure to find GCD of 165, 197, 52, 993 on our page.
3. How to find GCD of 165, 197, 52, 993 on a calculator?
You can find the GCD of 165, 197, 52, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.