GCD of 333, 444, 72, 501 Calculator

Given Input numbers are 333, 444, 72, 501

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

Divisors of 333

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

1, 3, 9, 37, 111, 333

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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

Divisors of 501

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

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 333, 444, 72, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 444, 72, 501 is 3.

Therefore, GCD of numbers 333, 444, 72, 501 is 3

Given Input Data is 333, 444, 72, 501

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

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 444 is 2 x 2 x 3 x 37

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

Prime Factorization of 501 is 3 x 167

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(333, 444) = 1332

GCD(333, 444) = ( 333 x 444 ) / 1332

GCD(333, 444) = 147852 / 1332

GCD(333, 444) = 111

Step2:

Here we consider the GCD from the above i.e. 111 as first number and the next as 72

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

LCM(111, 72) = 2664

GCD(111, 72) = ( 111 x 72 ) / 2664

GCD(111, 72) = 7992 / 2664

GCD(111, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 501

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

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

GCD(3, 501) = 1503 / 501

GCD(3, 501) = 3

GCD of 333, 444, 72, 501 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 434, 93, 247
• GCD of 308, 407, 27, 806
• GCD of 177, 751, 39, 502
• GCD of 814, 923, 56, 187
• GCD of 302, 434, 77, 116

1. What is the GCD of 333, 444, 72, 501?

GCD of 333, 444, 72, 501 is 3

2. Where do I get the detailed procedure to find GCD of 333, 444, 72, 501?

You can find a detailed procedure to find GCD of 333, 444, 72, 501 on our page.

3. How to find GCD of 333, 444, 72, 501 on a calculator?

You can find the GCD of 333, 444, 72, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.