GCD of 392, 428, 775, 808 Calculator

Given Input numbers are 392, 428, 775, 808

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 392, 428, 775, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 428, 775, 808 is 1.

Therefore, GCD of numbers 392, 428, 775, 808 is 1

Given Input Data is 392, 428, 775, 808

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 428 is 2 x 2 x 107

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 808 is 2 x 2 x 2 x 101

The above numbers do not have any common prime factor. So GCD is 1

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, 428) = 41944

GCD(392, 428) = ( 392 x 428 ) / 41944

GCD(392, 428) = 167776 / 41944

GCD(392, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 775

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

LCM(4, 775) = 3100

GCD(4, 775) = ( 4 x 775 ) / 3100

GCD(4, 775) = 3100 / 3100

GCD(4, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 392, 428, 775, 808 is 1

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1. What is the GCD of 392, 428, 775, 808?

GCD of 392, 428, 775, 808 is 1

2. Where do I get the detailed procedure to find GCD of 392, 428, 775, 808?

You can find a detailed procedure to find GCD of 392, 428, 775, 808 on our page.

3. How to find GCD of 392, 428, 775, 808 on a calculator?

You can find the GCD of 392, 428, 775, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.