GCD of 330, 855, 240 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 330, 855, 240 quickly. Get the easiest ways to solve the greatest common divisor of 330, 855, 240 i.e 15 in different methods as follows.
Given Input numbers are 330, 855, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
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 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
GCD of numbers is the greatest common divisor
So, the GCD (330, 855, 240) = 15.
Given numbers are 330, 855, 240
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31 x 51
Therefore, GCD of 330, 855, 240 is 15.
Steps to Calculate GCD of 330, 855, 240 using LCM Formula
Given numbers are 330, 855, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 855) = 18810
GCD(330, 855) = ( 330 x 855 ) / 18810
= 330 / 855
= 330
Step2:
LCM(15, 240) = 240
GCD(15, 240) = ( 15 x 240 ) / 240
= 15 / 240
= 15
So, Greatest Common Divisor of 330, 855, 240 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 330, 855, 240
Given numbers are 330, 855, 240
The greatest common divisor of numbers 330, 855, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 855, 240 is 15.
FAQs on GCD of 330, 855, 240 Calculator
1. What is the GCD of 330, 855, 240?
GCD of given numbers 330, 855, 240 is 15
2. How to calculate the greatest common divisor of 330, 855, 240?
We can find the highest common divisor of 330, 855, 240 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 330, 855, 240 i.e 15.
3. How can I use the GCD of 330, 855, 240Calculator?
Out the numbers 330, 855, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.