GCD of 432, 492, 345 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 432, 492, 345 quickly. Get the easiest ways to solve the greatest common divisor of 432, 492, 345 i.e 3 in different methods as follows.
Given Input numbers are 432, 492, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (432, 492, 345) = 3.
Given numbers are 432, 492, 345
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 345 are 3 x 5 x 23
The highest common occurrence is 31
Therefore, GCD of 432, 492, 345 is 3.
Steps to Calculate GCD of 432, 492, 345 using LCM Formula
Given numbers are 432, 492, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 492) = 17712
GCD(432, 492) = ( 432 x 492 ) / 17712
= 432 / 492
= 432
Step2:
LCM(12, 345) = 1380
GCD(12, 345) = ( 12 x 345 ) / 1380
= 12 / 345
= 12
So, Greatest Common Divisor of 432, 492, 345 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 432, 492, 345
Given numbers are 432, 492, 345
The greatest common divisor of numbers 432, 492, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 492, 345 is 3.
FAQs on GCD of 432, 492, 345 Calculator
1. What is the GCD of 432, 492, 345?
GCD of given numbers 432, 492, 345 is 3
2. How to calculate the greatest common divisor of 432, 492, 345?
We can find the highest common divisor of 432, 492, 345 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 432, 492, 345 i.e 3.
3. How can I use the GCD of 432, 492, 345Calculator?
Out the numbers 432, 492, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.