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 824, 808, 50, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 808, 50, 683 is 1
GCD(824, 808, 50, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 808, 50, 683 is 1
GCD(824, 808, 50, 683) = 1
Given Input numbers are 824, 808, 50, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 824, 808, 50, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 808, 50, 683 is 1.
Therefore, GCD of numbers 824, 808, 50, 683 is 1
Given Input Data is 824, 808, 50, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 683 is 683
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(824, 808) = 83224
GCD(824, 808) = ( 824 x 808 ) / 83224
GCD(824, 808) = 665792 / 83224
GCD(824, 808) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 50) = 200
GCD(8, 50) = ( 8 x 50 ) / 200
GCD(8, 50) = 400 / 200
GCD(8, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 683) = 1366
GCD(2, 683) = ( 2 x 683 ) / 1366
GCD(2, 683) = 1366 / 1366
GCD(2, 683) = 1
GCD of 824, 808, 50, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 808, 50, 683?
GCD of 824, 808, 50, 683 is 1
2. Where do I get the detailed procedure to find GCD of 824, 808, 50, 683?
You can find a detailed procedure to find GCD of 824, 808, 50, 683 on our page.
3. How to find GCD of 824, 808, 50, 683 on a calculator?
You can find the GCD of 824, 808, 50, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.