GCD of 329, 112, 230 Calculator
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 329, 112, 230 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 112, 230 is 1
GCD(329, 112, 230) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 112, 230 is 1
GCD(329, 112, 230) = 1
GCDof 329,112,230 is 1
Given Input numbers are 329, 112, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 329, 112, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 112, 230 is 1.
Therefore, GCD of numbers 329, 112, 230 is 1
Given Input Data is 329, 112, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 230 is 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 329, 112, 230 using LCM Formula
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(329, 112) = 5264
GCD(329, 112) = ( 329 x 112 ) / 5264
GCD(329, 112) = 36848 / 5264
GCD(329, 112) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 230) = 1610
GCD(7, 230) = ( 7 x 230 ) / 1610
GCD(7, 230) = 1610 / 1610
GCD(7, 230) = 1
GCD of 329, 112, 230 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 329, 112, 230
1. What is the GCD of 329, 112, 230?
GCD of 329, 112, 230 is 1
2. Where do I get the detailed procedure to find GCD of 329, 112, 230?
You can find a detailed procedure to find GCD of 329, 112, 230 on our page.
3. How to find GCD of 329, 112, 230 on a calculator?
You can find the GCD of 329, 112, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
