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, 286, 846, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 286, 846, 231 is 1
GCD(800, 286, 846, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 286, 846, 231 is 1
GCD(800, 286, 846, 231) = 1
Given Input numbers are 800, 286, 846, 231
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 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 800, 286, 846, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 286, 846, 231 is 1.
Therefore, GCD of numbers 800, 286, 846, 231 is 1
Given Input Data is 800, 286, 846, 231
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 286 is 2 x 11 x 13
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 231 is 3 x 7 x 11
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, 286) = 114400
GCD(800, 286) = ( 800 x 286 ) / 114400
GCD(800, 286) = 228800 / 114400
GCD(800, 286) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 846) = 846
GCD(2, 846) = ( 2 x 846 ) / 846
GCD(2, 846) = 1692 / 846
GCD(2, 846) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 231) = 462
GCD(2, 231) = ( 2 x 231 ) / 462
GCD(2, 231) = 462 / 462
GCD(2, 231) = 1
GCD of 800, 286, 846, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 286, 846, 231?
GCD of 800, 286, 846, 231 is 1
2. Where do I get the detailed procedure to find GCD of 800, 286, 846, 231?
You can find a detailed procedure to find GCD of 800, 286, 846, 231 on our page.
3. How to find GCD of 800, 286, 846, 231 on a calculator?
You can find the GCD of 800, 286, 846, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.