GCD of 822, 510, 855 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 822, 510, 855 i.e. 3 largest integer that divides all the numbers equally.

GCD of 822, 510, 855 is 3

GCD(822, 510, 855) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 822, 510, 855 is 3

GCD(822, 510, 855) = 3

GCD of 822,510,855 Calculator

GCDof 822,510,855 is 3

Given Input numbers are 822, 510, 855

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 822, 510, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 510, 855 is 3.

Therefore, GCD of numbers 822, 510, 855 is 3

Finding GCD of 822, 510, 855 using Prime Factorization

Given Input Data is 822, 510, 855

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 855 is 3 x 3 x 5 x 19

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 822, 510, 855 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(822, 510) = 69870

GCD(822, 510) = ( 822 x 510 ) / 69870

GCD(822, 510) = 419220 / 69870

GCD(822, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 855

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

LCM(6, 855) = 1710

GCD(6, 855) = ( 6 x 855 ) / 1710

GCD(6, 855) = 5130 / 1710

GCD(6, 855) = 3

GCD of 822, 510, 855 is 3

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FAQs on GCD of numbers 822, 510, 855

1. What is the GCD of 822, 510, 855?

GCD of 822, 510, 855 is 3

2. Where do I get the detailed procedure to find GCD of 822, 510, 855?

You can find a detailed procedure to find GCD of 822, 510, 855 on our page.

3. How to find GCD of 822, 510, 855 on a calculator?

You can find the GCD of 822, 510, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.