GCD of 333, 765, 387, 447 Calculator

Given Input numbers are 333, 765, 387, 447

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 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 333, 765, 387, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 765, 387, 447 is 3.

Therefore, GCD of numbers 333, 765, 387, 447 is 3

Given Input Data is 333, 765, 387, 447

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 765 is 3 x 3 x 5 x 17

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 447 is 3 x 149

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, 765) = 28305

GCD(333, 765) = ( 333 x 765 ) / 28305

GCD(333, 765) = 254745 / 28305

GCD(333, 765) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 387

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

LCM(9, 387) = 387

GCD(9, 387) = ( 9 x 387 ) / 387

GCD(9, 387) = 3483 / 387

GCD(9, 387) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 447

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

LCM(9, 447) = 1341

GCD(9, 447) = ( 9 x 447 ) / 1341

GCD(9, 447) = 4023 / 1341

GCD(9, 447) = 3

GCD of 333, 765, 387, 447 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 912, 597, 616
• GCD of 746, 683, 604, 930
• GCD of 164, 996, 600, 477
• GCD of 568, 250, 932, 494
• GCD of 547, 635, 213, 355

1. What is the GCD of 333, 765, 387, 447?

GCD of 333, 765, 387, 447 is 3

2. Where do I get the detailed procedure to find GCD of 333, 765, 387, 447?

You can find a detailed procedure to find GCD of 333, 765, 387, 447 on our page.

3. How to find GCD of 333, 765, 387, 447 on a calculator?

You can find the GCD of 333, 765, 387, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.