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 788, 817, 47, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 817, 47, 824 is 1
GCD(788, 817, 47, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 817, 47, 824 is 1
GCD(788, 817, 47, 824) = 1
Given Input numbers are 788, 817, 47, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 788, 817, 47, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 817, 47, 824 is 1.
Therefore, GCD of numbers 788, 817, 47, 824 is 1
Given Input Data is 788, 817, 47, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 817 is 19 x 43
Prime Factorization of 47 is 47
Prime Factorization of 824 is 2 x 2 x 2 x 103
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(788, 817) = 643796
GCD(788, 817) = ( 788 x 817 ) / 643796
GCD(788, 817) = 643796 / 643796
GCD(788, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
GCD of 788, 817, 47, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 817, 47, 824?
GCD of 788, 817, 47, 824 is 1
2. Where do I get the detailed procedure to find GCD of 788, 817, 47, 824?
You can find a detailed procedure to find GCD of 788, 817, 47, 824 on our page.
3. How to find GCD of 788, 817, 47, 824 on a calculator?
You can find the GCD of 788, 817, 47, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.