GCD of 566, 459, 348, 600 Calculator

Given Input numbers are 566, 459, 348, 600

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 566, 459, 348, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 459, 348, 600 is 1.

Therefore, GCD of numbers 566, 459, 348, 600 is 1

Given Input Data is 566, 459, 348, 600

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

Prime Factorization of 566 is 2 x 283

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(566, 459) = 259794

GCD(566, 459) = ( 566 x 459 ) / 259794

GCD(566, 459) = 259794 / 259794

GCD(566, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 566, 459, 348, 600 is 1

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1. What is the GCD of 566, 459, 348, 600?

GCD of 566, 459, 348, 600 is 1

2. Where do I get the detailed procedure to find GCD of 566, 459, 348, 600?

You can find a detailed procedure to find GCD of 566, 459, 348, 600 on our page.

3. How to find GCD of 566, 459, 348, 600 on a calculator?

You can find the GCD of 566, 459, 348, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.