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 917, 455, 50, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 455, 50, 396 is 1
GCD(917, 455, 50, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 455, 50, 396 is 1
GCD(917, 455, 50, 396) = 1
Given Input numbers are 917, 455, 50, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 917, 455, 50, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 455, 50, 396 is 1.
Therefore, GCD of numbers 917, 455, 50, 396 is 1
Given Input Data is 917, 455, 50, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(917, 455) = 59605
GCD(917, 455) = ( 917 x 455 ) / 59605
GCD(917, 455) = 417235 / 59605
GCD(917, 455) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 50) = 350
GCD(7, 50) = ( 7 x 50 ) / 350
GCD(7, 50) = 350 / 350
GCD(7, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 917, 455, 50, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 455, 50, 396?
GCD of 917, 455, 50, 396 is 1
2. Where do I get the detailed procedure to find GCD of 917, 455, 50, 396?
You can find a detailed procedure to find GCD of 917, 455, 50, 396 on our page.
3. How to find GCD of 917, 455, 50, 396 on a calculator?
You can find the GCD of 917, 455, 50, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.