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 825, 590, 80, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 590, 80, 229 is 1
GCD(825, 590, 80, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 590, 80, 229 is 1
GCD(825, 590, 80, 229) = 1
Given Input numbers are 825, 590, 80, 229
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Greatest Common Divisior
We found the divisors of 825, 590, 80, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 590, 80, 229 is 1.
Therefore, GCD of numbers 825, 590, 80, 229 is 1
Given Input Data is 825, 590, 80, 229
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 229 is 229
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(825, 590) = 97350
GCD(825, 590) = ( 825 x 590 ) / 97350
GCD(825, 590) = 486750 / 97350
GCD(825, 590) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 80) = 80
GCD(5, 80) = ( 5 x 80 ) / 80
GCD(5, 80) = 400 / 80
GCD(5, 80) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 229) = 1145
GCD(5, 229) = ( 5 x 229 ) / 1145
GCD(5, 229) = 1145 / 1145
GCD(5, 229) = 1
GCD of 825, 590, 80, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 590, 80, 229?
GCD of 825, 590, 80, 229 is 1
2. Where do I get the detailed procedure to find GCD of 825, 590, 80, 229?
You can find a detailed procedure to find GCD of 825, 590, 80, 229 on our page.
3. How to find GCD of 825, 590, 80, 229 on a calculator?
You can find the GCD of 825, 590, 80, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.