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 15, 197, 418, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 197, 418, 817 is 1
GCD(15, 197, 418, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 197, 418, 817 is 1
GCD(15, 197, 418, 817) = 1
Given Input numbers are 15, 197, 418, 817
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 15, 197, 418, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 197, 418, 817 is 1.
Therefore, GCD of numbers 15, 197, 418, 817 is 1
Given Input Data is 15, 197, 418, 817
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 197 is 197
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 817 is 19 x 43
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(15, 197) = 2955
GCD(15, 197) = ( 15 x 197 ) / 2955
GCD(15, 197) = 2955 / 2955
GCD(15, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
GCD of 15, 197, 418, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 197, 418, 817?
GCD of 15, 197, 418, 817 is 1
2. Where do I get the detailed procedure to find GCD of 15, 197, 418, 817?
You can find a detailed procedure to find GCD of 15, 197, 418, 817 on our page.
3. How to find GCD of 15, 197, 418, 817 on a calculator?
You can find the GCD of 15, 197, 418, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.