GCD of 240, 471, 225 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 240, 471, 225 quickly. Get the easiest ways to solve the greatest common divisor of 240, 471, 225 i.e 3 in different methods as follows.
Given Input numbers are 240, 471, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
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 (240, 471, 225) = 3.
Given numbers are 240, 471, 225
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 471 are 3 x 157
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 240, 471, 225 is 3.
Steps to Calculate GCD of 240, 471, 225 using LCM Formula
Given numbers are 240, 471, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 471) = 37680
GCD(240, 471) = ( 240 x 471 ) / 37680
= 240 / 471
= 240
Step2:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 240, 471, 225 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 240, 471, 225
Given numbers are 240, 471, 225
The greatest common divisor of numbers 240, 471, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 471, 225 is 3.
FAQs on GCD of 240, 471, 225 Calculator
1. What is the GCD of 240, 471, 225?
GCD of given numbers 240, 471, 225 is 3
2. How to calculate the greatest common divisor of 240, 471, 225?
We can find the highest common divisor of 240, 471, 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 240, 471, 225 i.e 3.
3. How can I use the GCD of 240, 471, 225Calculator?
Out the numbers 240, 471, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.