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 197, 324, 12, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 197, 324, 12, 775 is 1
GCD(197, 324, 12, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 197, 324, 12, 775 is 1
GCD(197, 324, 12, 775) = 1
Given Input numbers are 197, 324, 12, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 197, 324, 12, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 324, 12, 775 is 1.
Therefore, GCD of numbers 197, 324, 12, 775 is 1
Given Input Data is 197, 324, 12, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 197 is 197
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 775 is 5 x 5 x 31
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(197, 324) = 63828
GCD(197, 324) = ( 197 x 324 ) / 63828
GCD(197, 324) = 63828 / 63828
GCD(197, 324) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 197, 324, 12, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 197, 324, 12, 775?
GCD of 197, 324, 12, 775 is 1
2. Where do I get the detailed procedure to find GCD of 197, 324, 12, 775?
You can find a detailed procedure to find GCD of 197, 324, 12, 775 on our page.
3. How to find GCD of 197, 324, 12, 775 on a calculator?
You can find the GCD of 197, 324, 12, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.