GCD of 333, 108, 42, 279 Calculator

Given Input numbers are 333, 108, 42, 279

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 333, 108, 42, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 108, 42, 279 is 3.

Therefore, GCD of numbers 333, 108, 42, 279 is 3

Given Input Data is 333, 108, 42, 279

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 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 279 is 3 x 3 x 31

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, 108) = 3996

GCD(333, 108) = ( 333 x 108 ) / 3996

GCD(333, 108) = 35964 / 3996

GCD(333, 108) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 42

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

LCM(9, 42) = 126

GCD(9, 42) = ( 9 x 42 ) / 126

GCD(9, 42) = 378 / 126

GCD(9, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 279

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

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

GCD(3, 279) = 837 / 279

GCD(3, 279) = 3

GCD of 333, 108, 42, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 882, 14, 318
• GCD of 550, 493, 13, 853
• GCD of 280, 843, 13, 597
• GCD of 934, 702, 90, 814
• GCD of 534, 841, 87, 700

1. What is the GCD of 333, 108, 42, 279?

GCD of 333, 108, 42, 279 is 3

2. Where do I get the detailed procedure to find GCD of 333, 108, 42, 279?

You can find a detailed procedure to find GCD of 333, 108, 42, 279 on our page.

3. How to find GCD of 333, 108, 42, 279 on a calculator?

You can find the GCD of 333, 108, 42, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.