GCD of 105, 129, 408 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 129, 408 quickly. Get the easiest ways to solve the greatest common divisor of 105, 129, 408 i.e 3 in different methods as follows.
Given Input numbers are 105, 129, 408
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (105, 129, 408) = 3.
Given numbers are 105, 129, 408
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 129 are 3 x 43
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 105, 129, 408 is 3.
Steps to Calculate GCD of 105, 129, 408 using LCM Formula
Given numbers are 105, 129, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 129) = 4515
GCD(105, 129) = ( 105 x 129 ) / 4515
= 105 / 129
= 105
Step2:
LCM(3, 408) = 408
GCD(3, 408) = ( 3 x 408 ) / 408
= 3 / 408
= 3
So, Greatest Common Divisor of 105, 129, 408 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 129, 408
Given numbers are 105, 129, 408
The greatest common divisor of numbers 105, 129, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 129, 408 is 3.
FAQs on GCD of 105, 129, 408 Calculator
1. What is the GCD of 105, 129, 408?
GCD of given numbers 105, 129, 408 is 3
2. How to calculate the greatest common divisor of 105, 129, 408?
We can find the highest common divisor of 105, 129, 408 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 105, 129, 408 i.e 3.
3. How can I use the GCD of 105, 129, 408Calculator?
Out the numbers 105, 129, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.