GCD of 838, 792, 75, 389 Calculator

Given Input numbers are 838, 792, 75, 389

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

Divisors of 838

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

1, 2, 419, 838

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 838, 792, 75, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 792, 75, 389 is 1.

Therefore, GCD of numbers 838, 792, 75, 389 is 1

Given Input Data is 838, 792, 75, 389

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 389 is 389

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(838, 792) = 331848

GCD(838, 792) = ( 838 x 792 ) / 331848

GCD(838, 792) = 663696 / 331848

GCD(838, 792) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 838, 792, 75, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 613, 19, 483
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1. What is the GCD of 838, 792, 75, 389?

GCD of 838, 792, 75, 389 is 1

2. Where do I get the detailed procedure to find GCD of 838, 792, 75, 389?

You can find a detailed procedure to find GCD of 838, 792, 75, 389 on our page.

3. How to find GCD of 838, 792, 75, 389 on a calculator?

You can find the GCD of 838, 792, 75, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.