GCD of 392, 406, 888, 936 Calculator

Given Input numbers are 392, 406, 888, 936

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 392, 406, 888, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 406, 888, 936 is 2.

Therefore, GCD of numbers 392, 406, 888, 936 is 2

Given Input Data is 392, 406, 888, 936

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 406 is 2 x 7 x 29

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(392, 406) = 11368

GCD(392, 406) = ( 392 x 406 ) / 11368

GCD(392, 406) = 159152 / 11368

GCD(392, 406) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 888

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

LCM(14, 888) = 6216

GCD(14, 888) = ( 14 x 888 ) / 6216

GCD(14, 888) = 12432 / 6216

GCD(14, 888) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 936

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

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

GCD(2, 936) = 1872 / 936

GCD(2, 936) = 2

GCD of 392, 406, 888, 936 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 722, 127, 824
• GCD of 372, 349, 547, 330
• GCD of 886, 183, 596, 502
• GCD of 331, 604, 470, 479
• GCD of 608, 206, 519, 951

1. What is the GCD of 392, 406, 888, 936?

GCD of 392, 406, 888, 936 is 2

2. Where do I get the detailed procedure to find GCD of 392, 406, 888, 936?

You can find a detailed procedure to find GCD of 392, 406, 888, 936 on our page.

3. How to find GCD of 392, 406, 888, 936 on a calculator?

You can find the GCD of 392, 406, 888, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.