GCD of 810, 484, 84, 644 Calculator

Given Input numbers are 810, 484, 84, 644

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 810, 484, 84, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 484, 84, 644 is 2.

Therefore, GCD of numbers 810, 484, 84, 644 is 2

Given Input Data is 810, 484, 84, 644

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 644 is 2 x 2 x 7 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(810, 484) = 196020

GCD(810, 484) = ( 810 x 484 ) / 196020

GCD(810, 484) = 392040 / 196020

GCD(810, 484) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 810, 484, 84, 644 is 2

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1. What is the GCD of 810, 484, 84, 644?

GCD of 810, 484, 84, 644 is 2

2. Where do I get the detailed procedure to find GCD of 810, 484, 84, 644?

You can find a detailed procedure to find GCD of 810, 484, 84, 644 on our page.

3. How to find GCD of 810, 484, 84, 644 on a calculator?

You can find the GCD of 810, 484, 84, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.