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 397, 115, 135, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 115, 135, 197 is 1
GCD(397, 115, 135, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 115, 135, 197 is 1
GCD(397, 115, 135, 197) = 1
Given Input numbers are 397, 115, 135, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 397, 115, 135, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 115, 135, 197 is 1.
Therefore, GCD of numbers 397, 115, 135, 197 is 1
Given Input Data is 397, 115, 135, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 115 is 5 x 23
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 197 is 197
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(397, 115) = 45655
GCD(397, 115) = ( 397 x 115 ) / 45655
GCD(397, 115) = 45655 / 45655
GCD(397, 115) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
GCD(1, 197) = 197 / 197
GCD(1, 197) = 1
GCD of 397, 115, 135, 197 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 115, 135, 197?
GCD of 397, 115, 135, 197 is 1
2. Where do I get the detailed procedure to find GCD of 397, 115, 135, 197?
You can find a detailed procedure to find GCD of 397, 115, 135, 197 on our page.
3. How to find GCD of 397, 115, 135, 197 on a calculator?
You can find the GCD of 397, 115, 135, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.