GCD of 480, 585, 25 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 480, 585, 25 quickly. Get the easiest ways to solve the greatest common divisor of 480, 585, 25 i.e 5 in different methods as follows.
Given Input numbers are 480, 585, 25
In the factoring method, we have to find the divisors of all numbers
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 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 25 :
The positive integer divisors of 25 that completely divides 25 are.
1, 5, 25
GCD of numbers is the greatest common divisor
So, the GCD (480, 585, 25) = 5.
Given numbers are 480, 585, 25
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 25 are 5 x 5
The highest common occurrence is 51
Therefore, GCD of 480, 585, 25 is 5.
Steps to Calculate GCD of 480, 585, 25 using LCM Formula
Given numbers are 480, 585, 25
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 585) = 18720
GCD(480, 585) = ( 480 x 585 ) / 18720
= 480 / 585
= 480
Step2:
LCM(15, 25) = 75
GCD(15, 25) = ( 15 x 25 ) / 75
= 15 / 25
= 15
So, Greatest Common Divisor of 480, 585, 25 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 480, 585, 25
Given numbers are 480, 585, 25
The greatest common divisor of numbers 480, 585, 25 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 585, 25 is 5.
FAQs on GCD of 480, 585, 25 Calculator
1. What is the GCD of 480, 585, 25?
GCD of given numbers 480, 585, 25 is 5
2. How to calculate the greatest common divisor of 480, 585, 25?
We can find the highest common divisor of 480, 585, 25 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 480, 585, 25 i.e 5.
3. How can I use the GCD of 480, 585, 25Calculator?
Out the numbers 480, 585, 25 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.