GCD of 840, 459, 808, 894 Calculator

Given Input numbers are 840, 459, 808, 894

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 840, 459, 808, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 459, 808, 894 is 1.

Therefore, GCD of numbers 840, 459, 808, 894 is 1

Given Input Data is 840, 459, 808, 894

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 894 is 2 x 3 x 149

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(840, 459) = 128520

GCD(840, 459) = ( 840 x 459 ) / 128520

GCD(840, 459) = 385560 / 128520

GCD(840, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 808

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

LCM(3, 808) = 2424

GCD(3, 808) = ( 3 x 808 ) / 2424

GCD(3, 808) = 2424 / 2424

GCD(3, 808) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 840, 459, 808, 894 is 1

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1. What is the GCD of 840, 459, 808, 894?

GCD of 840, 459, 808, 894 is 1

2. Where do I get the detailed procedure to find GCD of 840, 459, 808, 894?

You can find a detailed procedure to find GCD of 840, 459, 808, 894 on our page.

3. How to find GCD of 840, 459, 808, 894 on a calculator?

You can find the GCD of 840, 459, 808, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.