GCD of 576, 994, 523, 232 Calculator

Given Input numbers are 576, 994, 523, 232

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 576, 994, 523, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 994, 523, 232 is 1.

Therefore, GCD of numbers 576, 994, 523, 232 is 1

Given Input Data is 576, 994, 523, 232

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 994 is 2 x 7 x 71

Prime Factorization of 523 is 523

Prime Factorization of 232 is 2 x 2 x 2 x 29

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, 994) = 286272

GCD(576, 994) = ( 576 x 994 ) / 286272

GCD(576, 994) = 572544 / 286272

GCD(576, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 523

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

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

GCD(2, 523) = 1046 / 1046

GCD(2, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 576, 994, 523, 232 is 1

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1. What is the GCD of 576, 994, 523, 232?

GCD of 576, 994, 523, 232 is 1

2. Where do I get the detailed procedure to find GCD of 576, 994, 523, 232?

You can find a detailed procedure to find GCD of 576, 994, 523, 232 on our page.

3. How to find GCD of 576, 994, 523, 232 on a calculator?

You can find the GCD of 576, 994, 523, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.