GCD of 459, 354, 564, 844 Calculator

Given Input numbers are 459, 354, 564, 844

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

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 459, 354, 564, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 354, 564, 844 is 1.

Therefore, GCD of numbers 459, 354, 564, 844 is 1

Given Input Data is 459, 354, 564, 844

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

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 844 is 2 x 2 x 211

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(459, 354) = 54162

GCD(459, 354) = ( 459 x 354 ) / 54162

GCD(459, 354) = 162486 / 54162

GCD(459, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 564

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

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

GCD(3, 564) = 1692 / 564

GCD(3, 564) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 844

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

LCM(3, 844) = 2532

GCD(3, 844) = ( 3 x 844 ) / 2532

GCD(3, 844) = 2532 / 2532

GCD(3, 844) = 1

GCD of 459, 354, 564, 844 is 1

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1. What is the GCD of 459, 354, 564, 844?

GCD of 459, 354, 564, 844 is 1

2. Where do I get the detailed procedure to find GCD of 459, 354, 564, 844?

You can find a detailed procedure to find GCD of 459, 354, 564, 844 on our page.

3. How to find GCD of 459, 354, 564, 844 on a calculator?

You can find the GCD of 459, 354, 564, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.