GCD of 434, 459, 440 Calculator

Given Input numbers are 434, 459, 440

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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

Greatest Common Divisior

We found the divisors of 434, 459, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 459, 440 is 1.

Therefore, GCD of numbers 434, 459, 440 is 1

Given Input Data is 434, 459, 440

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 459 is 3 x 3 x 3 x 17

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

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

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(434, 459) = 199206

GCD(434, 459) = ( 434 x 459 ) / 199206

GCD(434, 459) = 199206 / 199206

GCD(434, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 434, 459, 440 is 1

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1. What is the GCD of 434, 459, 440?

GCD of 434, 459, 440 is 1

2. Where do I get the detailed procedure to find GCD of 434, 459, 440?

You can find a detailed procedure to find GCD of 434, 459, 440 on our page.

3. How to find GCD of 434, 459, 440 on a calculator?

You can find the GCD of 434, 459, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.