GCD of 432, 687, 906 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 432, 687, 906 quickly. Get the easiest ways to solve the greatest common divisor of 432, 687, 906 i.e 3 in different methods as follows.
Given Input numbers are 432, 687, 906
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 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
GCD of numbers is the greatest common divisor
So, the GCD (432, 687, 906) = 3.
Given numbers are 432, 687, 906
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 687 are 3 x 229
Prime factors of 906 are 2 x 3 x 151
The highest common occurrence is 31
Therefore, GCD of 432, 687, 906 is 3.
Steps to Calculate GCD of 432, 687, 906 using LCM Formula
Given numbers are 432, 687, 906
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 687) = 98928
GCD(432, 687) = ( 432 x 687 ) / 98928
= 432 / 687
= 432
Step2:
LCM(3, 906) = 906
GCD(3, 906) = ( 3 x 906 ) / 906
= 3 / 906
= 3
So, Greatest Common Divisor of 432, 687, 906 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 432, 687, 906
Given numbers are 432, 687, 906
The greatest common divisor of numbers 432, 687, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 687, 906 is 3.
FAQs on GCD of 432, 687, 906 Calculator
1. What is the GCD of 432, 687, 906?
GCD of given numbers 432, 687, 906 is 3
2. How to calculate the greatest common divisor of 432, 687, 906?
We can find the highest common divisor of 432, 687, 906 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, 687, 906 i.e 3.
3. How can I use the GCD of 432, 687, 906Calculator?
Out the numbers 432, 687, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.