GCD of 648, 171, 225 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 648, 171, 225 quickly. Get the easiest ways to solve the greatest common divisor of 648, 171, 225 i.e 9 in different methods as follows.
Given Input numbers are 648, 171, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (648, 171, 225) = 9.
Given numbers are 648, 171, 225
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 171 are 3 x 3 x 19
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 32
Therefore, GCD of 648, 171, 225 is 9.
Steps to Calculate GCD of 648, 171, 225 using LCM Formula
Given numbers are 648, 171, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 171) = 12312
GCD(648, 171) = ( 648 x 171 ) / 12312
= 648 / 171
= 648
Step2:
LCM(9, 225) = 225
GCD(9, 225) = ( 9 x 225 ) / 225
= 9 / 225
= 9
So, Greatest Common Divisor of 648, 171, 225 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 648, 171, 225
Given numbers are 648, 171, 225
The greatest common divisor of numbers 648, 171, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 171, 225 is 9.
FAQs on GCD of 648, 171, 225 Calculator
1. What is the GCD of 648, 171, 225?
GCD of given numbers 648, 171, 225 is 9
2. How to calculate the greatest common divisor of 648, 171, 225?
We can find the highest common divisor of 648, 171, 225 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 648, 171, 225 i.e 9.
3. How can I use the GCD of 648, 171, 225Calculator?
Out the numbers 648, 171, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.