GCD of 920, 480, 330 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 920, 480, 330 quickly. Get the easiest ways to solve the greatest common divisor of 920, 480, 330 i.e 10 in different methods as follows.
Given Input numbers are 920, 480, 330
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
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
GCD of numbers is the greatest common divisor
So, the GCD (920, 480, 330) = 10.
Given numbers are 920, 480, 330
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 330 are 2 x 3 x 5 x 11
The highest common occurrence is 21 x 51
Therefore, GCD of 920, 480, 330 is 10.
Steps to Calculate GCD of 920, 480, 330 using LCM Formula
Given numbers are 920, 480, 330
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 480) = 11040
GCD(920, 480) = ( 920 x 480 ) / 11040
= 920 / 480
= 920
Step2:
LCM(40, 330) = 1320
GCD(40, 330) = ( 40 x 330 ) / 1320
= 40 / 330
= 40
So, Greatest Common Divisor of 920, 480, 330 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 920, 480, 330
Given numbers are 920, 480, 330
The greatest common divisor of numbers 920, 480, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 480, 330 is 10.
FAQs on GCD of 920, 480, 330 Calculator
1. What is the GCD of 920, 480, 330?
GCD of given numbers 920, 480, 330 is 10
2. How to calculate the greatest common divisor of 920, 480, 330?
We can find the highest common divisor of 920, 480, 330 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 920, 480, 330 i.e 10.
3. How can I use the GCD of 920, 480, 330Calculator?
Out the numbers 920, 480, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.