GCD of 432, 612, 282 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 432, 612, 282 quickly. Get the easiest ways to solve the greatest common divisor of 432, 612, 282 i.e 6 in different methods as follows.
Given Input numbers are 432, 612, 282
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
GCD of numbers is the greatest common divisor
So, the GCD (432, 612, 282) = 6.
Given numbers are 432, 612, 282
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 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 282 are 2 x 3 x 47
The highest common occurrence is 21 x 31
Therefore, GCD of 432, 612, 282 is 6.
Steps to Calculate GCD of 432, 612, 282 using LCM Formula
Given numbers are 432, 612, 282
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 612) = 7344
GCD(432, 612) = ( 432 x 612 ) / 7344
= 432 / 612
= 432
Step2:
LCM(36, 282) = 1692
GCD(36, 282) = ( 36 x 282 ) / 1692
= 36 / 282
= 36
So, Greatest Common Divisor of 432, 612, 282 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 432, 612, 282
Given numbers are 432, 612, 282
The greatest common divisor of numbers 432, 612, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 612, 282 is 6.
FAQs on GCD of 432, 612, 282 Calculator
1. What is the GCD of 432, 612, 282?
GCD of given numbers 432, 612, 282 is 6
2. How to calculate the greatest common divisor of 432, 612, 282?
We can find the highest common divisor of 432, 612, 282 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, 612, 282 i.e 6.
3. How can I use the GCD of 432, 612, 282Calculator?
Out the numbers 432, 612, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.