GCD of 129, 387, 172 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 129, 387, 172 quickly. Get the easiest ways to solve the greatest common divisor of 129, 387, 172 i.e 43 in different methods as follows.
Given Input numbers are 129, 387, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (129, 387, 172) = 43.
Given numbers are 129, 387, 172
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 387 are 3 x 3 x 43
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 431
Therefore, GCD of 129, 387, 172 is 43.
Steps to Calculate GCD of 129, 387, 172 using LCM Formula
Given numbers are 129, 387, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 387) = 387
GCD(129, 387) = ( 129 x 387 ) / 387
= 129 / 387
= 129
Step2:
LCM(129, 172) = 516
GCD(129, 172) = ( 129 x 172 ) / 516
= 129 / 172
= 129
So, Greatest Common Divisor of 129, 387, 172 is 43
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 129, 387, 172
Given numbers are 129, 387, 172
The greatest common divisor of numbers 129, 387, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 387, 172 is 43.
FAQs on GCD of 129, 387, 172 Calculator
1. What is the GCD of 129, 387, 172?
GCD of given numbers 129, 387, 172 is 43
2. How to calculate the greatest common divisor of 129, 387, 172?
We can find the highest common divisor of 129, 387, 172 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 129, 387, 172 i.e 43.
3. How can I use the GCD of 129, 387, 172Calculator?
Out the numbers 129, 387, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.