GCD of 855, 225, 366 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 855, 225, 366 quickly. Get the easiest ways to solve the greatest common divisor of 855, 225, 366 i.e 3 in different methods as follows.
Given Input numbers are 855, 225, 366
In the factoring method, we have to find the divisors of all numbers
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
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 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
GCD of numbers is the greatest common divisor
So, the GCD (855, 225, 366) = 3.
Given numbers are 855, 225, 366
The list of prime factors of all numbers are
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 366 are 2 x 3 x 61
The highest common occurrence is 31
Therefore, GCD of 855, 225, 366 is 3.
Steps to Calculate GCD of 855, 225, 366 using LCM Formula
Given numbers are 855, 225, 366
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(855, 225) = 4275
GCD(855, 225) = ( 855 x 225 ) / 4275
= 855 / 225
= 855
Step2:
LCM(45, 366) = 5490
GCD(45, 366) = ( 45 x 366 ) / 5490
= 45 / 366
= 45
So, Greatest Common Divisor of 855, 225, 366 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 855, 225, 366
Given numbers are 855, 225, 366
The greatest common divisor of numbers 855, 225, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 225, 366 is 3.
FAQs on GCD of 855, 225, 366 Calculator
1. What is the GCD of 855, 225, 366?
GCD of given numbers 855, 225, 366 is 3
2. How to calculate the greatest common divisor of 855, 225, 366?
We can find the highest common divisor of 855, 225, 366 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 855, 225, 366 i.e 3.
3. How can I use the GCD of 855, 225, 366Calculator?
Out the numbers 855, 225, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.