GCD of 864, 459, 66, 436 Calculator

Given Input numbers are 864, 459, 66, 436

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 864, 459, 66, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 459, 66, 436 is 1.

Therefore, GCD of numbers 864, 459, 66, 436 is 1

Given Input Data is 864, 459, 66, 436

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 436 is 2 x 2 x 109

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(864, 459) = 14688

GCD(864, 459) = ( 864 x 459 ) / 14688

GCD(864, 459) = 396576 / 14688

GCD(864, 459) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 66

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

LCM(27, 66) = 594

GCD(27, 66) = ( 27 x 66 ) / 594

GCD(27, 66) = 1782 / 594

GCD(27, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 436

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

LCM(3, 436) = 1308

GCD(3, 436) = ( 3 x 436 ) / 1308

GCD(3, 436) = 1308 / 1308

GCD(3, 436) = 1

GCD of 864, 459, 66, 436 is 1

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1. What is the GCD of 864, 459, 66, 436?

GCD of 864, 459, 66, 436 is 1

2. Where do I get the detailed procedure to find GCD of 864, 459, 66, 436?

You can find a detailed procedure to find GCD of 864, 459, 66, 436 on our page.

3. How to find GCD of 864, 459, 66, 436 on a calculator?

You can find the GCD of 864, 459, 66, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.