GCD of 392, 838, 50, 815 Calculator

Given Input numbers are 392, 838, 50, 815

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 392, 838, 50, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 838, 50, 815 is 1.

Therefore, GCD of numbers 392, 838, 50, 815 is 1

Given Input Data is 392, 838, 50, 815

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 838 is 2 x 419

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 815 is 5 x 163

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, 838) = 164248

GCD(392, 838) = ( 392 x 838 ) / 164248

GCD(392, 838) = 328496 / 164248

GCD(392, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 815

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

LCM(2, 815) = 1630

GCD(2, 815) = ( 2 x 815 ) / 1630

GCD(2, 815) = 1630 / 1630

GCD(2, 815) = 1

GCD of 392, 838, 50, 815 is 1

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1. What is the GCD of 392, 838, 50, 815?

GCD of 392, 838, 50, 815 is 1

2. Where do I get the detailed procedure to find GCD of 392, 838, 50, 815?

You can find a detailed procedure to find GCD of 392, 838, 50, 815 on our page.

3. How to find GCD of 392, 838, 50, 815 on a calculator?

You can find the GCD of 392, 838, 50, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.