GCD of 939, 540, 399, 999 Calculator

Given Input numbers are 939, 540, 399, 999

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

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 939, 540, 399, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 540, 399, 999 is 3.

Therefore, GCD of numbers 939, 540, 399, 999 is 3

Given Input Data is 939, 540, 399, 999

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

Prime Factorization of 939 is 3 x 313

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(939, 540) = 169020

GCD(939, 540) = ( 939 x 540 ) / 169020

GCD(939, 540) = 507060 / 169020

GCD(939, 540) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 399

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

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

GCD(3, 399) = 1197 / 399

GCD(3, 399) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 999

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

LCM(3, 999) = 999

GCD(3, 999) = ( 3 x 999 ) / 999

GCD(3, 999) = 2997 / 999

GCD(3, 999) = 3

GCD of 939, 540, 399, 999 is 3

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1. What is the GCD of 939, 540, 399, 999?

GCD of 939, 540, 399, 999 is 3

2. Where do I get the detailed procedure to find GCD of 939, 540, 399, 999?

You can find a detailed procedure to find GCD of 939, 540, 399, 999 on our page.

3. How to find GCD of 939, 540, 399, 999 on a calculator?

You can find the GCD of 939, 540, 399, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.