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, 631, 36, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 631, 36, 275 is 1
GCD(800, 631, 36, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 631, 36, 275 is 1
GCD(800, 631, 36, 275) = 1
Given Input numbers are 800, 631, 36, 275
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 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 800, 631, 36, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 631, 36, 275 is 1.
Therefore, GCD of numbers 800, 631, 36, 275 is 1
Given Input Data is 800, 631, 36, 275
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 631 is 631
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 275 is 5 x 5 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, 631) = 504800
GCD(800, 631) = ( 800 x 631 ) / 504800
GCD(800, 631) = 504800 / 504800
GCD(800, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
GCD(1, 275) = 275 / 275
GCD(1, 275) = 1
GCD of 800, 631, 36, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 631, 36, 275?
GCD of 800, 631, 36, 275 is 1
2. Where do I get the detailed procedure to find GCD of 800, 631, 36, 275?
You can find a detailed procedure to find GCD of 800, 631, 36, 275 on our page.
3. How to find GCD of 800, 631, 36, 275 on a calculator?
You can find the GCD of 800, 631, 36, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.