Where do I get the detailed procedure to find GCD of 500, 216, 83?

You can find a detailed procedure to find GCD of 500, 216, 83 on our page.

How to find GCD of 500, 216, 83 on a calculator?

You can find the GCD of 500, 216, 83 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 500, 216, 83 Calculator

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

Online GCD Calculator is useful to find the GCD of 500, 216, 83 quickly. Get the easiest ways to solve the greatest common divisor of 500, 216, 83 i.e 1 in different methods as follows.

How to Find GCD of Numbers 500, 216, 83 with Factoring?

Given Input numbers are 500, 216, 83

In the factoring method, we have to find the divisors of all numbers

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83

GCD of numbers is the greatest common divisor

So, the GCD (500, 216, 83) = 1.

Find GCD of 500, 216, 83 using Prime Factorization

Given numbers are 500, 216, 83

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 83 are 83

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 500, 216, 83 using LCM Formula

Given numbers are 500, 216, 83

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

Apply this formula for all numbers.

Step1:

LCM(500, 216) = 27000

GCD(500, 216) = ( 500 x 216 ) / 27000

= 500 / 216

= 500

Step2:

LCM(4, 83) = 332

GCD(4, 83) = ( 4 x 83 ) / 332

= 4 / 83

= 4

So, Greatest Common Divisor of 500, 216, 83 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 500, 216, 83

Given numbers are 500, 216, 83
The greatest common divisor of numbers 500, 216, 83 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 216, 83 is 1.

FAQs on GCD of 500, 216, 83 Calculator

1. What is the GCD of 500, 216, 83?

GCD of given numbers 500, 216, 83 is 1

2. How to calculate the greatest common divisor of 500, 216, 83?

We can find the highest common divisor of 500, 216, 83 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 500, 216, 83 i.e 1.

3. How can I use the GCD of 500, 216, 83Calculator?

Out the numbers 500, 216, 83 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.