GCD of 440, 810, 420 Calculator

Given Input numbers are 440, 810, 420

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 440, 810, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 810, 420 is 10.

Therefore, GCD of numbers 440, 810, 420 is 10

Given Input Data is 440, 810, 420

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(440, 810) = 35640

GCD(440, 810) = ( 440 x 810 ) / 35640

GCD(440, 810) = 356400 / 35640

GCD(440, 810) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 420

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

LCM(10, 420) = 420

GCD(10, 420) = ( 10 x 420 ) / 420

GCD(10, 420) = 4200 / 420

GCD(10, 420) = 10

GCD of 440, 810, 420 is 10

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1. What is the GCD of 440, 810, 420?

GCD of 440, 810, 420 is 10

2. Where do I get the detailed procedure to find GCD of 440, 810, 420?

You can find a detailed procedure to find GCD of 440, 810, 420 on our page.

3. How to find GCD of 440, 810, 420 on a calculator?

You can find the GCD of 440, 810, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.