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 405, 336, 114 i.e. 3 largest integer that divides all the numbers equally.
GCD of 405, 336, 114 is 3
GCD(405, 336, 114) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 405, 336, 114 is 3
GCD(405, 336, 114) = 3
Given Input numbers are 405, 336, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
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 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 405, 336, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 336, 114 is 3.
Therefore, GCD of numbers 405, 336, 114 is 3
Given Input Data is 405, 336, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 114 is 2 x 3 x 19
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(405, 336) = 45360
GCD(405, 336) = ( 405 x 336 ) / 45360
GCD(405, 336) = 136080 / 45360
GCD(405, 336) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 114) = 114
GCD(3, 114) = ( 3 x 114 ) / 114
GCD(3, 114) = 342 / 114
GCD(3, 114) = 3
GCD of 405, 336, 114 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 405, 336, 114?
GCD of 405, 336, 114 is 3
2. Where do I get the detailed procedure to find GCD of 405, 336, 114?
You can find a detailed procedure to find GCD of 405, 336, 114 on our page.
3. How to find GCD of 405, 336, 114 on a calculator?
You can find the GCD of 405, 336, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.