GCD of 396, 840, 16, 472 Calculator

Given Input numbers are 396, 840, 16, 472

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 396, 840, 16, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 840, 16, 472 is 4.

Therefore, GCD of numbers 396, 840, 16, 472 is 4

Given Input Data is 396, 840, 16, 472

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 472 is 2 x 2 x 2 x 59

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(396, 840) = 27720

GCD(396, 840) = ( 396 x 840 ) / 27720

GCD(396, 840) = 332640 / 27720

GCD(396, 840) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 16

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

LCM(12, 16) = 48

GCD(12, 16) = ( 12 x 16 ) / 48

GCD(12, 16) = 192 / 48

GCD(12, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 472

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

LCM(4, 472) = 472

GCD(4, 472) = ( 4 x 472 ) / 472

GCD(4, 472) = 1888 / 472

GCD(4, 472) = 4

GCD of 396, 840, 16, 472 is 4

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1. What is the GCD of 396, 840, 16, 472?

GCD of 396, 840, 16, 472 is 4

2. Where do I get the detailed procedure to find GCD of 396, 840, 16, 472?

You can find a detailed procedure to find GCD of 396, 840, 16, 472 on our page.

3. How to find GCD of 396, 840, 16, 472 on a calculator?

You can find the GCD of 396, 840, 16, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.