GCD of 506, 264, 72 Calculator

Given Input numbers are 506, 264, 72

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 506, 264, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 264, 72 is 2.

Therefore, GCD of numbers 506, 264, 72 is 2

Given Input Data is 506, 264, 72

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

Prime Factorization of 506 is 2 x 11 x 23

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(506, 264) = 6072

GCD(506, 264) = ( 506 x 264 ) / 6072

GCD(506, 264) = 133584 / 6072

GCD(506, 264) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 72

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

LCM(22, 72) = 792

GCD(22, 72) = ( 22 x 72 ) / 792

GCD(22, 72) = 1584 / 792

GCD(22, 72) = 2

GCD of 506, 264, 72 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 372, 14
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• GCD of 269, 703, 88
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1. What is the GCD of 506, 264, 72?

GCD of 506, 264, 72 is 2

2. Where do I get the detailed procedure to find GCD of 506, 264, 72?

You can find a detailed procedure to find GCD of 506, 264, 72 on our page.

3. How to find GCD of 506, 264, 72 on a calculator?

You can find the GCD of 506, 264, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.