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 25, 326, 800, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 326, 800, 799 is 1
GCD(25, 326, 800, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 326, 800, 799 is 1
GCD(25, 326, 800, 799) = 1
Given Input numbers are 25, 326, 800, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
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 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 25, 326, 800, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 326, 800, 799 is 1.
Therefore, GCD of numbers 25, 326, 800, 799 is 1
Given Input Data is 25, 326, 800, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 326 is 2 x 163
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 799 is 17 x 47
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(25, 326) = 8150
GCD(25, 326) = ( 25 x 326 ) / 8150
GCD(25, 326) = 8150 / 8150
GCD(25, 326) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
GCD of 25, 326, 800, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 326, 800, 799?
GCD of 25, 326, 800, 799 is 1
2. Where do I get the detailed procedure to find GCD of 25, 326, 800, 799?
You can find a detailed procedure to find GCD of 25, 326, 800, 799 on our page.
3. How to find GCD of 25, 326, 800, 799 on a calculator?
You can find the GCD of 25, 326, 800, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.