GCD of 388, 336, 205 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 388, 336, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 388, 336, 205 is 1
GCD(388, 336, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 336, 205 is 1
GCD(388, 336, 205) = 1
GCDof 388,336,205 is 1
Given Input numbers are 388, 336, 205
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Greatest Common Divisior
We found the divisors of 388, 336, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 336, 205 is 1.
Therefore, GCD of numbers 388, 336, 205 is 1
Given Input Data is 388, 336, 205
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 205 is 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 388, 336, 205 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(388, 336) = 32592
GCD(388, 336) = ( 388 x 336 ) / 32592
GCD(388, 336) = 130368 / 32592
GCD(388, 336) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 205) = 820
GCD(4, 205) = ( 4 x 205 ) / 820
GCD(4, 205) = 820 / 820
GCD(4, 205) = 1
GCD of 388, 336, 205 is 1
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FAQs on GCD of numbers 388, 336, 205
1. What is the GCD of 388, 336, 205?
GCD of 388, 336, 205 is 1
2. Where do I get the detailed procedure to find GCD of 388, 336, 205?
You can find a detailed procedure to find GCD of 388, 336, 205 on our page.
3. How to find GCD of 388, 336, 205 on a calculator?
You can find the GCD of 388, 336, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.