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 429, 326, 13, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 429, 326, 13, 223 is 1
GCD(429, 326, 13, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 429, 326, 13, 223 is 1
GCD(429, 326, 13, 223) = 1
Given Input numbers are 429, 326, 13, 223
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 429, 326, 13, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 326, 13, 223 is 1.
Therefore, GCD of numbers 429, 326, 13, 223 is 1
Given Input Data is 429, 326, 13, 223
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 326 is 2 x 163
Prime Factorization of 13 is 13
Prime Factorization of 223 is 223
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(429, 326) = 139854
GCD(429, 326) = ( 429 x 326 ) / 139854
GCD(429, 326) = 139854 / 139854
GCD(429, 326) = 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 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 223) = 223
GCD(1, 223) = ( 1 x 223 ) / 223
GCD(1, 223) = 223 / 223
GCD(1, 223) = 1
GCD of 429, 326, 13, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 429, 326, 13, 223?
GCD of 429, 326, 13, 223 is 1
2. Where do I get the detailed procedure to find GCD of 429, 326, 13, 223?
You can find a detailed procedure to find GCD of 429, 326, 13, 223 on our page.
3. How to find GCD of 429, 326, 13, 223 on a calculator?
You can find the GCD of 429, 326, 13, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.