GCD of 834, 189, 12 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 834, 189, 12 quickly. Get the easiest ways to solve the greatest common divisor of 834, 189, 12 i.e 3 in different methods as follows.
Given Input numbers are 834, 189, 12
In the factoring method, we have to find the divisors of all numbers
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 12 :
The positive integer divisors of 12 that completely divides 12 are.
1, 2, 3, 4, 6, 12
GCD of numbers is the greatest common divisor
So, the GCD (834, 189, 12) = 3.
Given numbers are 834, 189, 12
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 12 are 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 834, 189, 12 is 3.
Steps to Calculate GCD of 834, 189, 12 using LCM Formula
Given numbers are 834, 189, 12
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 189) = 52542
GCD(834, 189) = ( 834 x 189 ) / 52542
= 834 / 189
= 834
Step2:
LCM(3, 12) = 12
GCD(3, 12) = ( 3 x 12 ) / 12
= 3 / 12
= 3
So, Greatest Common Divisor of 834, 189, 12 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 834, 189, 12
Given numbers are 834, 189, 12
The greatest common divisor of numbers 834, 189, 12 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 189, 12 is 3.
FAQs on GCD of 834, 189, 12 Calculator
1. What is the GCD of 834, 189, 12?
GCD of given numbers 834, 189, 12 is 3
2. How to calculate the greatest common divisor of 834, 189, 12?
We can find the highest common divisor of 834, 189, 12 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 834, 189, 12 i.e 3.
3. How can I use the GCD of 834, 189, 12Calculator?
Out the numbers 834, 189, 12 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.