GCD of 838, 759, 794, 398 Calculator

Given Input numbers are 838, 759, 794, 398

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 838, 759, 794, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 759, 794, 398 is 1.

Therefore, GCD of numbers 838, 759, 794, 398 is 1

Given Input Data is 838, 759, 794, 398

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 794 is 2 x 397

Prime Factorization of 398 is 2 x 199

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, 759) = 636042

GCD(838, 759) = ( 838 x 759 ) / 636042

GCD(838, 759) = 636042 / 636042

GCD(838, 759) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 838, 759, 794, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 216, 553, 478
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• GCD of 237, 467, 103, 441

1. What is the GCD of 838, 759, 794, 398?

GCD of 838, 759, 794, 398 is 1

2. Where do I get the detailed procedure to find GCD of 838, 759, 794, 398?

You can find a detailed procedure to find GCD of 838, 759, 794, 398 on our page.

3. How to find GCD of 838, 759, 794, 398 on a calculator?

You can find the GCD of 838, 759, 794, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.