GCD of 444, 384, 999, 975 Calculator

Given Input numbers are 444, 384, 999, 975

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

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 999

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

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 444, 384, 999, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 384, 999, 975 is 3.

Therefore, GCD of numbers 444, 384, 999, 975 is 3

Given Input Data is 444, 384, 999, 975

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

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(444, 384) = 14208

GCD(444, 384) = ( 444 x 384 ) / 14208

GCD(444, 384) = 170496 / 14208

GCD(444, 384) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 999

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

LCM(12, 999) = 3996

GCD(12, 999) = ( 12 x 999 ) / 3996

GCD(12, 999) = 11988 / 3996

GCD(12, 999) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 975

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

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

GCD(3, 975) = 2925 / 975

GCD(3, 975) = 3

GCD of 444, 384, 999, 975 is 3

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1. What is the GCD of 444, 384, 999, 975?

GCD of 444, 384, 999, 975 is 3

2. Where do I get the detailed procedure to find GCD of 444, 384, 999, 975?

You can find a detailed procedure to find GCD of 444, 384, 999, 975 on our page.

3. How to find GCD of 444, 384, 999, 975 on a calculator?

You can find the GCD of 444, 384, 999, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.