Where do I get the detailed procedure to find GCD of 480, 565, 835?

You can find a detailed procedure to find GCD of 480, 565, 835 on our page.

How to find GCD of 480, 565, 835 on a calculator?

You can find the GCD of 480, 565, 835 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, 565, 835 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, 565, 835 quickly. Get the easiest ways to solve the greatest common divisor of 480, 565, 835 i.e 5 in different methods as follows.

How to Find GCD of Numbers 480, 565, 835 with Factoring?

Given Input numbers are 480, 565, 835

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 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835

GCD of numbers is the greatest common divisor

So, the GCD (480, 565, 835) = 5.

Find GCD of 480, 565, 835 using Prime Factorization

Given numbers are 480, 565, 835

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 565 are 5 x 113

Prime factors of 835 are 5 x 167

The highest common occurrence is 5¹

Therefore, GCD of 480, 565, 835 is 5.

Steps to Calculate GCD of 480, 565, 835 using LCM Formula

Given numbers are 480, 565, 835

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

Apply this formula for all numbers.

Step1:

LCM(480, 565) = 54240

GCD(480, 565) = ( 480 x 565 ) / 54240

= 480 / 565

= 480

Step2:

LCM(5, 835) = 835

GCD(5, 835) = ( 5 x 835 ) / 835

= 5 / 835

= 5

So, Greatest Common Divisor of 480, 565, 835 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 480, 565, 835

Given numbers are 480, 565, 835
The greatest common divisor of numbers 480, 565, 835 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 565, 835 is 5.

FAQs on GCD of 480, 565, 835 Calculator

1. What is the GCD of 480, 565, 835?

GCD of given numbers 480, 565, 835 is 5

2. How to calculate the greatest common divisor of 480, 565, 835?

We can find the highest common divisor of 480, 565, 835 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, 565, 835 i.e 5.

3. How can I use the GCD of 480, 565, 835Calculator?

Out the numbers 480, 565, 835 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.