GCD of 304, 492, 501, 264 Calculator

Given Input numbers are 304, 492, 501, 264

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 501

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

1, 3, 167, 501

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 304, 492, 501, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 492, 501, 264 is 1.

Therefore, GCD of numbers 304, 492, 501, 264 is 1

Given Input Data is 304, 492, 501, 264

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 501 is 3 x 167

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(304, 492) = 37392

GCD(304, 492) = ( 304 x 492 ) / 37392

GCD(304, 492) = 149568 / 37392

GCD(304, 492) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 501

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

LCM(4, 501) = 2004

GCD(4, 501) = ( 4 x 501 ) / 2004

GCD(4, 501) = 2004 / 2004

GCD(4, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 304, 492, 501, 264 is 1

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1. What is the GCD of 304, 492, 501, 264?

GCD of 304, 492, 501, 264 is 1

2. Where do I get the detailed procedure to find GCD of 304, 492, 501, 264?

You can find a detailed procedure to find GCD of 304, 492, 501, 264 on our page.

3. How to find GCD of 304, 492, 501, 264 on a calculator?

You can find the GCD of 304, 492, 501, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.