GCD of 189, 129, 849 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 189, 129, 849 quickly. Get the easiest ways to solve the greatest common divisor of 189, 129, 849 i.e 3 in different methods as follows.
Given Input numbers are 189, 129, 849
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
GCD of numbers is the greatest common divisor
So, the GCD (189, 129, 849) = 3.
Given numbers are 189, 129, 849
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 129 are 3 x 43
Prime factors of 849 are 3 x 283
The highest common occurrence is 31
Therefore, GCD of 189, 129, 849 is 3.
Steps to Calculate GCD of 189, 129, 849 using LCM Formula
Given numbers are 189, 129, 849
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 129) = 8127
GCD(189, 129) = ( 189 x 129 ) / 8127
= 189 / 129
= 189
Step2:
LCM(3, 849) = 849
GCD(3, 849) = ( 3 x 849 ) / 849
= 3 / 849
= 3
So, Greatest Common Divisor of 189, 129, 849 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 189, 129, 849
Given numbers are 189, 129, 849
The greatest common divisor of numbers 189, 129, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 129, 849 is 3.
FAQs on GCD of 189, 129, 849 Calculator
1. What is the GCD of 189, 129, 849?
GCD of given numbers 189, 129, 849 is 3
2. How to calculate the greatest common divisor of 189, 129, 849?
We can find the highest common divisor of 189, 129, 849 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 189, 129, 849 i.e 3.
3. How can I use the GCD of 189, 129, 849Calculator?
Out the numbers 189, 129, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.