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 395, 201, 15, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 201, 15, 555 is 1
GCD(395, 201, 15, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 201, 15, 555 is 1
GCD(395, 201, 15, 555) = 1
Given Input numbers are 395, 201, 15, 555
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 395, 201, 15, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 201, 15, 555 is 1.
Therefore, GCD of numbers 395, 201, 15, 555 is 1
Given Input Data is 395, 201, 15, 555
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 201 is 3 x 67
Prime Factorization of 15 is 3 x 5
Prime Factorization of 555 is 3 x 5 x 37
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(395, 201) = 79395
GCD(395, 201) = ( 395 x 201 ) / 79395
GCD(395, 201) = 79395 / 79395
GCD(395, 201) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 555) = 555
GCD(1, 555) = ( 1 x 555 ) / 555
GCD(1, 555) = 555 / 555
GCD(1, 555) = 1
GCD of 395, 201, 15, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 201, 15, 555?
GCD of 395, 201, 15, 555 is 1
2. Where do I get the detailed procedure to find GCD of 395, 201, 15, 555?
You can find a detailed procedure to find GCD of 395, 201, 15, 555 on our page.
3. How to find GCD of 395, 201, 15, 555 on a calculator?
You can find the GCD of 395, 201, 15, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.