GCD of 405, 138, 195 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 405, 138, 195 quickly. Get the easiest ways to solve the greatest common divisor of 405, 138, 195 i.e 3 in different methods as follows.
Given Input numbers are 405, 138, 195
In the factoring method, we have to find the divisors of all numbers
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
GCD of numbers is the greatest common divisor
So, the GCD (405, 138, 195) = 3.
Given numbers are 405, 138, 195
The list of prime factors of all numbers are
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 138 are 2 x 3 x 23
Prime factors of 195 are 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 405, 138, 195 is 3.
Steps to Calculate GCD of 405, 138, 195 using LCM Formula
Given numbers are 405, 138, 195
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(405, 138) = 18630
GCD(405, 138) = ( 405 x 138 ) / 18630
= 405 / 138
= 405
Step2:
LCM(3, 195) = 195
GCD(3, 195) = ( 3 x 195 ) / 195
= 3 / 195
= 3
So, Greatest Common Divisor of 405, 138, 195 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 405, 138, 195
Given numbers are 405, 138, 195
The greatest common divisor of numbers 405, 138, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 138, 195 is 3.
FAQs on GCD of 405, 138, 195 Calculator
1. What is the GCD of 405, 138, 195?
GCD of given numbers 405, 138, 195 is 3
2. How to calculate the greatest common divisor of 405, 138, 195?
We can find the highest common divisor of 405, 138, 195 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 405, 138, 195 i.e 3.
3. How can I use the GCD of 405, 138, 195Calculator?
Out the numbers 405, 138, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.