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 12, 361, 826, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 361, 826, 335 is 1
GCD(12, 361, 826, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 361, 826, 335 is 1
GCD(12, 361, 826, 335) = 1
Given Input numbers are 12, 361, 826, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 12, 361, 826, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 361, 826, 335 is 1.
Therefore, GCD of numbers 12, 361, 826, 335 is 1
Given Input Data is 12, 361, 826, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 361 is 19 x 19
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 335 is 5 x 67
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(12, 361) = 4332
GCD(12, 361) = ( 12 x 361 ) / 4332
GCD(12, 361) = 4332 / 4332
GCD(12, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 12, 361, 826, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 361, 826, 335?
GCD of 12, 361, 826, 335 is 1
2. Where do I get the detailed procedure to find GCD of 12, 361, 826, 335?
You can find a detailed procedure to find GCD of 12, 361, 826, 335 on our page.
3. How to find GCD of 12, 361, 826, 335 on a calculator?
You can find the GCD of 12, 361, 826, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.