GCD of 129, 342, 348 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 129, 342, 348 quickly. Get the easiest ways to solve the greatest common divisor of 129, 342, 348 i.e 3 in different methods as follows.
Given Input numbers are 129, 342, 348
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (129, 342, 348) = 3.
Given numbers are 129, 342, 348
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 129, 342, 348 is 3.
Steps to Calculate GCD of 129, 342, 348 using LCM Formula
Given numbers are 129, 342, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 342) = 14706
GCD(129, 342) = ( 129 x 342 ) / 14706
= 129 / 342
= 129
Step2:
LCM(3, 348) = 348
GCD(3, 348) = ( 3 x 348 ) / 348
= 3 / 348
= 3
So, Greatest Common Divisor of 129, 342, 348 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 129, 342, 348
Given numbers are 129, 342, 348
The greatest common divisor of numbers 129, 342, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 342, 348 is 3.
FAQs on GCD of 129, 342, 348 Calculator
1. What is the GCD of 129, 342, 348?
GCD of given numbers 129, 342, 348 is 3
2. How to calculate the greatest common divisor of 129, 342, 348?
We can find the highest common divisor of 129, 342, 348 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, 342, 348 i.e 3.
3. How can I use the GCD of 129, 342, 348Calculator?
Out the numbers 129, 342, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.