GCD of 388, 892, 994, 392 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 388, 892, 994, 392 i.e. 2 largest integer that divides all the numbers equally.

GCD of 388, 892, 994, 392 is 2

GCD(388, 892, 994, 392) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 388, 892, 994, 392 is 2

GCD(388, 892, 994, 392) = 2

GCD of 388,892,994,392 Calculator

GCDof 388,892,994,392 is 2

Given Input numbers are 388, 892, 994, 392

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

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

Greatest Common Divisior

We found the divisors of 388, 892, 994, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 892, 994, 392 is 2.

Therefore, GCD of numbers 388, 892, 994, 392 is 2

Finding GCD of 388, 892, 994, 392 using Prime Factorization

Given Input Data is 388, 892, 994, 392

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 994 is 2 x 7 x 71

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 388, 892, 994, 392 using LCM Formula

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(388, 892) = 86524

GCD(388, 892) = ( 388 x 892 ) / 86524

GCD(388, 892) = 346096 / 86524

GCD(388, 892) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 994

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

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

GCD(4, 994) = 3976 / 1988

GCD(4, 994) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 388, 892, 994, 392 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 388, 892, 994, 392

1. What is the GCD of 388, 892, 994, 392?

GCD of 388, 892, 994, 392 is 2


2. Where do I get the detailed procedure to find GCD of 388, 892, 994, 392?

You can find a detailed procedure to find GCD of 388, 892, 994, 392 on our page.


3. How to find GCD of 388, 892, 994, 392 on a calculator?

You can find the GCD of 388, 892, 994, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.