GCD of 838, 794, 10, 931 Calculator

Given Input numbers are 838, 794, 10, 931

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 794

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

1, 2, 397, 794

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 838, 794, 10, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 794, 10, 931 is 1.

Therefore, GCD of numbers 838, 794, 10, 931 is 1

Given Input Data is 838, 794, 10, 931

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 794 is 2 x 397

Prime Factorization of 10 is 2 x 5

Prime Factorization of 931 is 7 x 7 x 19

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, 794) = 332686

GCD(838, 794) = ( 838 x 794 ) / 332686

GCD(838, 794) = 665372 / 332686

GCD(838, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 931

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

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

GCD(2, 931) = 1862 / 1862

GCD(2, 931) = 1

GCD of 838, 794, 10, 931 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 937, 46, 223
• GCD of 155, 603, 53, 677
• GCD of 106, 301, 68, 743
• GCD of 128, 539, 16, 523
• GCD of 724, 739, 39, 666

1. What is the GCD of 838, 794, 10, 931?

GCD of 838, 794, 10, 931 is 1

2. Where do I get the detailed procedure to find GCD of 838, 794, 10, 931?

You can find a detailed procedure to find GCD of 838, 794, 10, 931 on our page.

3. How to find GCD of 838, 794, 10, 931 on a calculator?

You can find the GCD of 838, 794, 10, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.