Where do I get the detailed procedure to find GCD of 480, 525, 20?

You can find a detailed procedure to find GCD of 480, 525, 20 on our page.

How to find GCD of 480, 525, 20 on a calculator?

You can find the GCD of 480, 525, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 480, 525, 20 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 480, 525, 20 quickly. Get the easiest ways to solve the greatest common divisor of 480, 525, 20 i.e 5 in different methods as follows.

How to Find GCD of Numbers 480, 525, 20 with Factoring?

Given Input numbers are 480, 525, 20

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 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

GCD of numbers is the greatest common divisor

So, the GCD (480, 525, 20) = 5.

Find GCD of 480, 525, 20 using Prime Factorization

Given numbers are 480, 525, 20

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 525 are 3 x 5 x 5 x 7

Prime factors of 20 are 2 x 2 x 5

The highest common occurrence is 5¹

Therefore, GCD of 480, 525, 20 is 5.

Steps to Calculate GCD of 480, 525, 20 using LCM Formula

Given numbers are 480, 525, 20

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(480, 525) = 16800

GCD(480, 525) = ( 480 x 525 ) / 16800

= 480 / 525

= 480

Step2:

LCM(15, 20) = 60

GCD(15, 20) = ( 15 x 20 ) / 60

= 15 / 20

= 15

So, Greatest Common Divisor of 480, 525, 20 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 480, 525, 20

Given numbers are 480, 525, 20
The greatest common divisor of numbers 480, 525, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 525, 20 is 5.

FAQs on GCD of 480, 525, 20 Calculator

1. What is the GCD of 480, 525, 20?

GCD of given numbers 480, 525, 20 is 5

2. How to calculate the greatest common divisor of 480, 525, 20?

We can find the highest common divisor of 480, 525, 20 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, 525, 20 i.e 5.

3. How can I use the GCD of 480, 525, 20Calculator?

Out the numbers 480, 525, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.