GCD of 204, 346, 163 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 204, 346, 163 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 346, 163 is 1
GCD(204, 346, 163) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 346, 163 is 1
GCD(204, 346, 163) = 1
GCDof 204,346,163 is 1
Given Input numbers are 204, 346, 163
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Greatest Common Divisior
We found the divisors of 204, 346, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 346, 163 is 1.
Therefore, GCD of numbers 204, 346, 163 is 1
Given Input Data is 204, 346, 163
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 346 is 2 x 173
Prime Factorization of 163 is 163
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 204, 346, 163 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(204, 346) = 35292
GCD(204, 346) = ( 204 x 346 ) / 35292
GCD(204, 346) = 70584 / 35292
GCD(204, 346) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 163) = 326
GCD(2, 163) = ( 2 x 163 ) / 326
GCD(2, 163) = 326 / 326
GCD(2, 163) = 1
GCD of 204, 346, 163 is 1
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FAQs on GCD of numbers 204, 346, 163
1. What is the GCD of 204, 346, 163?
GCD of 204, 346, 163 is 1
2. Where do I get the detailed procedure to find GCD of 204, 346, 163?
You can find a detailed procedure to find GCD of 204, 346, 163 on our page.
3. How to find GCD of 204, 346, 163 on a calculator?
You can find the GCD of 204, 346, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.