GCD of 328, 434, 41 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 328, 434, 41 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 434, 41 is 1
GCD(328, 434, 41) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 434, 41 is 1
GCD(328, 434, 41) = 1
GCDof 328,434,41 is 1
Given Input numbers are 328, 434, 41
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Greatest Common Divisior
We found the divisors of 328, 434, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 434, 41 is 1.
Therefore, GCD of numbers 328, 434, 41 is 1
Given Input Data is 328, 434, 41
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 41 is 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 328, 434, 41 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(328, 434) = 71176
GCD(328, 434) = ( 328 x 434 ) / 71176
GCD(328, 434) = 142352 / 71176
GCD(328, 434) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
GCD of 328, 434, 41 is 1
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FAQs on GCD of numbers 328, 434, 41
1. What is the GCD of 328, 434, 41?
GCD of 328, 434, 41 is 1
2. Where do I get the detailed procedure to find GCD of 328, 434, 41?
You can find a detailed procedure to find GCD of 328, 434, 41 on our page.
3. How to find GCD of 328, 434, 41 on a calculator?
You can find the GCD of 328, 434, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
