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, 817, 784, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 817, 784, 799 is 1
GCD(397, 817, 784, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 817, 784, 799 is 1
GCD(397, 817, 784, 799) = 1
Given Input numbers are 397, 817, 784, 799
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 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 397, 817, 784, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 817, 784, 799 is 1.
Therefore, GCD of numbers 397, 817, 784, 799 is 1
Given Input Data is 397, 817, 784, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 817 is 19 x 43
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 799 is 17 x 47
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, 817) = 324349
GCD(397, 817) = ( 397 x 817 ) / 324349
GCD(397, 817) = 324349 / 324349
GCD(397, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
GCD of 397, 817, 784, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 817, 784, 799?
GCD of 397, 817, 784, 799 is 1
2. Where do I get the detailed procedure to find GCD of 397, 817, 784, 799?
You can find a detailed procedure to find GCD of 397, 817, 784, 799 on our page.
3. How to find GCD of 397, 817, 784, 799 on a calculator?
You can find the GCD of 397, 817, 784, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.