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 800, 442, 89, 415 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 442, 89, 415 is 1
GCD(800, 442, 89, 415) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 442, 89, 415 is 1
GCD(800, 442, 89, 415) = 1
Given Input numbers are 800, 442, 89, 415
To find the GCD of numbers using factoring list out all the divisors of each number
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 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Greatest Common Divisior
We found the divisors of 800, 442, 89, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 442, 89, 415 is 1.
Therefore, GCD of numbers 800, 442, 89, 415 is 1
Given Input Data is 800, 442, 89, 415
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 89 is 89
Prime Factorization of 415 is 5 x 83
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(800, 442) = 176800
GCD(800, 442) = ( 800 x 442 ) / 176800
GCD(800, 442) = 353600 / 176800
GCD(800, 442) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 415
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 415) = 415
GCD(1, 415) = ( 1 x 415 ) / 415
GCD(1, 415) = 415 / 415
GCD(1, 415) = 1
GCD of 800, 442, 89, 415 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 442, 89, 415?
GCD of 800, 442, 89, 415 is 1
2. Where do I get the detailed procedure to find GCD of 800, 442, 89, 415?
You can find a detailed procedure to find GCD of 800, 442, 89, 415 on our page.
3. How to find GCD of 800, 442, 89, 415 on a calculator?
You can find the GCD of 800, 442, 89, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.