GCD of 585, 205, 480 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 585, 205, 480 quickly. Get the easiest ways to solve the greatest common divisor of 585, 205, 480 i.e 5 in different methods as follows.
Given Input numbers are 585, 205, 480
In the factoring method, we have to find the divisors of all numbers
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
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
GCD of numbers is the greatest common divisor
So, the GCD (585, 205, 480) = 5.
Given numbers are 585, 205, 480
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 205 are 5 x 41
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 51
Therefore, GCD of 585, 205, 480 is 5.
Steps to Calculate GCD of 585, 205, 480 using LCM Formula
Given numbers are 585, 205, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 205) = 23985
GCD(585, 205) = ( 585 x 205 ) / 23985
= 585 / 205
= 585
Step2:
LCM(5, 480) = 480
GCD(5, 480) = ( 5 x 480 ) / 480
= 5 / 480
= 5
So, Greatest Common Divisor of 585, 205, 480 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 585, 205, 480
Given numbers are 585, 205, 480
The greatest common divisor of numbers 585, 205, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 205, 480 is 5.
FAQs on GCD of 585, 205, 480 Calculator
1. What is the GCD of 585, 205, 480?
GCD of given numbers 585, 205, 480 is 5
2. How to calculate the greatest common divisor of 585, 205, 480?
We can find the highest common divisor of 585, 205, 480 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 585, 205, 480 i.e 5.
3. How can I use the GCD of 585, 205, 480Calculator?
Out the numbers 585, 205, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.