GCD of 225, 210, 66 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 225, 210, 66 quickly. Get the easiest ways to solve the greatest common divisor of 225, 210, 66 i.e 3 in different methods as follows.
Given Input numbers are 225, 210, 66
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 66 :
The positive integer divisors of 66 that completely divides 66 are.
1, 2, 3, 6, 11, 22, 33, 66
GCD of numbers is the greatest common divisor
So, the GCD (225, 210, 66) = 3.
Given numbers are 225, 210, 66
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 66 are 2 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 225, 210, 66 is 3.
Steps to Calculate GCD of 225, 210, 66 using LCM Formula
Given numbers are 225, 210, 66
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 210) = 3150
GCD(225, 210) = ( 225 x 210 ) / 3150
= 225 / 210
= 225
Step2:
LCM(15, 66) = 330
GCD(15, 66) = ( 15 x 66 ) / 330
= 15 / 66
= 15
So, Greatest Common Divisor of 225, 210, 66 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 225, 210, 66
Given numbers are 225, 210, 66
The greatest common divisor of numbers 225, 210, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 210, 66 is 3.
FAQs on GCD of 225, 210, 66 Calculator
1. What is the GCD of 225, 210, 66?
GCD of given numbers 225, 210, 66 is 3
2. How to calculate the greatest common divisor of 225, 210, 66?
We can find the highest common divisor of 225, 210, 66 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 225, 210, 66 i.e 3.
3. How can I use the GCD of 225, 210, 66Calculator?
Out the numbers 225, 210, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.