GCD of 299, 501, 576, 332 Calculator

Given Input numbers are 299, 501, 576, 332

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 299, 501, 576, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 501, 576, 332 is 1.

Therefore, GCD of numbers 299, 501, 576, 332 is 1

Given Input Data is 299, 501, 576, 332

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 501 is 3 x 167

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

Prime Factorization of 332 is 2 x 2 x 83

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(299, 501) = 149799

GCD(299, 501) = ( 299 x 501 ) / 149799

GCD(299, 501) = 149799 / 149799

GCD(299, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 299, 501, 576, 332 is 1

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1. What is the GCD of 299, 501, 576, 332?

GCD of 299, 501, 576, 332 is 1

2. Where do I get the detailed procedure to find GCD of 299, 501, 576, 332?

You can find a detailed procedure to find GCD of 299, 501, 576, 332 on our page.

3. How to find GCD of 299, 501, 576, 332 on a calculator?

You can find the GCD of 299, 501, 576, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.