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GCD of 816, 500, 821 Calculator

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

Online GCD Calculator is useful to find the GCD of 816, 500, 821 quickly. Get the easiest ways to solve the greatest common divisor of 816, 500, 821 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 500, 821 with Factoring?

Given Input numbers are 816, 500, 821

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821


GCD of numbers is the greatest common divisor

So, the GCD (816, 500, 821) = 1.

Find GCD of 816, 500, 821 using Prime Factorization

Given numbers are 816, 500, 821

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Prime factors of 821 are 821

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

Steps to Calculate GCD of 816, 500, 821 using LCM Formula

Given numbers are 816, 500, 821

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

Apply this formula for all numbers.

Step1:

LCM(816, 500) = 102000

GCD(816, 500) = ( 816 x 500 ) / 102000

= 816 / 500

= 816

Step2:

LCM(4, 821) = 3284

GCD(4, 821) = ( 4 x 821 ) / 3284

= 4 / 821

= 4


So, Greatest Common Divisor of 816, 500, 821 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 816, 500, 821

Given numbers are 816, 500, 821
The greatest common divisor of numbers 816, 500, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 500, 821 is 1.

FAQs on GCD of 816, 500, 821 Calculator

1. What is the GCD of 816, 500, 821?

GCD of given numbers 816, 500, 821 is 1

2. How to calculate the greatest common divisor of 816, 500, 821?

We can find the highest common divisor of 816, 500, 821 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 816, 500, 821 i.e 1.

3. How can I use the GCD of 816, 500, 821Calculator?

Out the numbers 816, 500, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.