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 834, 341, 13, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 341, 13, 225 is 1
GCD(834, 341, 13, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 341, 13, 225 is 1
GCD(834, 341, 13, 225) = 1
Given Input numbers are 834, 341, 13, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Greatest Common Divisior
We found the divisors of 834, 341, 13, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 341, 13, 225 is 1.
Therefore, GCD of numbers 834, 341, 13, 225 is 1
Given Input Data is 834, 341, 13, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 341 is 11 x 31
Prime Factorization of 13 is 13
Prime Factorization of 225 is 3 x 3 x 5 x 5
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(834, 341) = 284394
GCD(834, 341) = ( 834 x 341 ) / 284394
GCD(834, 341) = 284394 / 284394
GCD(834, 341) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 834, 341, 13, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 341, 13, 225?
GCD of 834, 341, 13, 225 is 1
2. Where do I get the detailed procedure to find GCD of 834, 341, 13, 225?
You can find a detailed procedure to find GCD of 834, 341, 13, 225 on our page.
3. How to find GCD of 834, 341, 13, 225 on a calculator?
You can find the GCD of 834, 341, 13, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.