GCD of 576, 333, 947, 410 Calculator

Given Input numbers are 576, 333, 947, 410

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 576, 333, 947, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 333, 947, 410 is 1.

Therefore, GCD of numbers 576, 333, 947, 410 is 1

Given Input Data is 576, 333, 947, 410

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 947 is 947

Prime Factorization of 410 is 2 x 5 x 41

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(576, 333) = 21312

GCD(576, 333) = ( 576 x 333 ) / 21312

GCD(576, 333) = 191808 / 21312

GCD(576, 333) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 947

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

LCM(9, 947) = 8523

GCD(9, 947) = ( 9 x 947 ) / 8523

GCD(9, 947) = 8523 / 8523

GCD(9, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 576, 333, 947, 410 is 1

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1. What is the GCD of 576, 333, 947, 410?

GCD of 576, 333, 947, 410 is 1

2. Where do I get the detailed procedure to find GCD of 576, 333, 947, 410?

You can find a detailed procedure to find GCD of 576, 333, 947, 410 on our page.

3. How to find GCD of 576, 333, 947, 410 on a calculator?

You can find the GCD of 576, 333, 947, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.