GCD of 444, 795, 48, 471 Calculator

Given Input numbers are 444, 795, 48, 471

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 444, 795, 48, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 795, 48, 471 is 3.

Therefore, GCD of numbers 444, 795, 48, 471 is 3

Given Input Data is 444, 795, 48, 471

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 795 is 3 x 5 x 53

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 471 is 3 x 157

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, 795) = 117660

GCD(444, 795) = ( 444 x 795 ) / 117660

GCD(444, 795) = 352980 / 117660

GCD(444, 795) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 471

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

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

GCD(3, 471) = 1413 / 471

GCD(3, 471) = 3

GCD of 444, 795, 48, 471 is 3

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1. What is the GCD of 444, 795, 48, 471?

GCD of 444, 795, 48, 471 is 3

2. Where do I get the detailed procedure to find GCD of 444, 795, 48, 471?

You can find a detailed procedure to find GCD of 444, 795, 48, 471 on our page.

3. How to find GCD of 444, 795, 48, 471 on a calculator?

You can find the GCD of 444, 795, 48, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.