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 115, 800, 50, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 115, 800, 50, 833 is 1
GCD(115, 800, 50, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 800, 50, 833 is 1
GCD(115, 800, 50, 833) = 1
Given Input numbers are 115, 800, 50, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 115, 800, 50, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 800, 50, 833 is 1.
Therefore, GCD of numbers 115, 800, 50, 833 is 1
Given Input Data is 115, 800, 50, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 833 is 7 x 7 x 17
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(115, 800) = 18400
GCD(115, 800) = ( 115 x 800 ) / 18400
GCD(115, 800) = 92000 / 18400
GCD(115, 800) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 50) = 50
GCD(5, 50) = ( 5 x 50 ) / 50
GCD(5, 50) = 250 / 50
GCD(5, 50) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 833) = 4165
GCD(5, 833) = ( 5 x 833 ) / 4165
GCD(5, 833) = 4165 / 4165
GCD(5, 833) = 1
GCD of 115, 800, 50, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 800, 50, 833?
GCD of 115, 800, 50, 833 is 1
2. Where do I get the detailed procedure to find GCD of 115, 800, 50, 833?
You can find a detailed procedure to find GCD of 115, 800, 50, 833 on our page.
3. How to find GCD of 115, 800, 50, 833 on a calculator?
You can find the GCD of 115, 800, 50, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.