GCD of 456, 393, 189 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 456, 393, 189 quickly. Get the easiest ways to solve the greatest common divisor of 456, 393, 189 i.e 3 in different methods as follows.
Given Input numbers are 456, 393, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (456, 393, 189) = 3.
Given numbers are 456, 393, 189
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 393 are 3 x 131
Prime factors of 189 are 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 456, 393, 189 is 3.
Steps to Calculate GCD of 456, 393, 189 using LCM Formula
Given numbers are 456, 393, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 393) = 59736
GCD(456, 393) = ( 456 x 393 ) / 59736
= 456 / 393
= 456
Step2:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
So, Greatest Common Divisor of 456, 393, 189 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 456, 393, 189
Given numbers are 456, 393, 189
The greatest common divisor of numbers 456, 393, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 393, 189 is 3.
FAQs on GCD of 456, 393, 189 Calculator
1. What is the GCD of 456, 393, 189?
GCD of given numbers 456, 393, 189 is 3
2. How to calculate the greatest common divisor of 456, 393, 189?
We can find the highest common divisor of 456, 393, 189 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 456, 393, 189 i.e 3.
3. How can I use the GCD of 456, 393, 189Calculator?
Out the numbers 456, 393, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.