GCD of 408, 396, 856, 888 Calculator

Given Input numbers are 408, 396, 856, 888

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 408, 396, 856, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 396, 856, 888 is 4.

Therefore, GCD of numbers 408, 396, 856, 888 is 4

Given Input Data is 408, 396, 856, 888

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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(408, 396) = 13464

GCD(408, 396) = ( 408 x 396 ) / 13464

GCD(408, 396) = 161568 / 13464

GCD(408, 396) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 856

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

LCM(12, 856) = 2568

GCD(12, 856) = ( 12 x 856 ) / 2568

GCD(12, 856) = 10272 / 2568

GCD(12, 856) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 888

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

LCM(4, 888) = 888

GCD(4, 888) = ( 4 x 888 ) / 888

GCD(4, 888) = 3552 / 888

GCD(4, 888) = 4

GCD of 408, 396, 856, 888 is 4

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1. What is the GCD of 408, 396, 856, 888?

GCD of 408, 396, 856, 888 is 4

2. Where do I get the detailed procedure to find GCD of 408, 396, 856, 888?

You can find a detailed procedure to find GCD of 408, 396, 856, 888 on our page.

3. How to find GCD of 408, 396, 856, 888 on a calculator?

You can find the GCD of 408, 396, 856, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.