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 404, 107, 52, 800 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 107, 52, 800 is 1
GCD(404, 107, 52, 800) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 107, 52, 800 is 1
GCD(404, 107, 52, 800) = 1
Given Input numbers are 404, 107, 52, 800
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
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
Greatest Common Divisior
We found the divisors of 404, 107, 52, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 107, 52, 800 is 1.
Therefore, GCD of numbers 404, 107, 52, 800 is 1
Given Input Data is 404, 107, 52, 800
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 107 is 107
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
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(404, 107) = 43228
GCD(404, 107) = ( 404 x 107 ) / 43228
GCD(404, 107) = 43228 / 43228
GCD(404, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
GCD of 404, 107, 52, 800 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 107, 52, 800?
GCD of 404, 107, 52, 800 is 1
2. Where do I get the detailed procedure to find GCD of 404, 107, 52, 800?
You can find a detailed procedure to find GCD of 404, 107, 52, 800 on our page.
3. How to find GCD of 404, 107, 52, 800 on a calculator?
You can find the GCD of 404, 107, 52, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.