GCD of 288, 723, 906 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 288, 723, 906 quickly. Get the easiest ways to solve the greatest common divisor of 288, 723, 906 i.e 3 in different methods as follows.
Given Input numbers are 288, 723, 906
In the factoring method, we have to find the divisors of all numbers
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
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 (288, 723, 906) = 3.
Given numbers are 288, 723, 906
The list of prime factors of all numbers are
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 723 are 3 x 241
Prime factors of 906 are 2 x 3 x 151
The highest common occurrence is 31
Therefore, GCD of 288, 723, 906 is 3.
Steps to Calculate GCD of 288, 723, 906 using LCM Formula
Given numbers are 288, 723, 906
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 723) = 69408
GCD(288, 723) = ( 288 x 723 ) / 69408
= 288 / 723
= 288
Step2:
LCM(3, 906) = 906
GCD(3, 906) = ( 3 x 906 ) / 906
= 3 / 906
= 3
So, Greatest Common Divisor of 288, 723, 906 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 288, 723, 906
Given numbers are 288, 723, 906
The greatest common divisor of numbers 288, 723, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 723, 906 is 3.
FAQs on GCD of 288, 723, 906 Calculator
1. What is the GCD of 288, 723, 906?
GCD of given numbers 288, 723, 906 is 3
2. How to calculate the greatest common divisor of 288, 723, 906?
We can find the highest common divisor of 288, 723, 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 288, 723, 906 i.e 3.
3. How can I use the GCD of 288, 723, 906Calculator?
Out the numbers 288, 723, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.