GCD of 38, 598, 736, 831 Calculator

Given Input numbers are 38, 598, 736, 831

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 38, 598, 736, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 598, 736, 831 is 1.

Therefore, GCD of numbers 38, 598, 736, 831 is 1

Given Input Data is 38, 598, 736, 831

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 831 is 3 x 277

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(38, 598) = 11362

GCD(38, 598) = ( 38 x 598 ) / 11362

GCD(38, 598) = 22724 / 11362

GCD(38, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 831

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

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

GCD(2, 831) = 1662 / 1662

GCD(2, 831) = 1

GCD of 38, 598, 736, 831 is 1

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1. What is the GCD of 38, 598, 736, 831?

GCD of 38, 598, 736, 831 is 1

2. Where do I get the detailed procedure to find GCD of 38, 598, 736, 831?

You can find a detailed procedure to find GCD of 38, 598, 736, 831 on our page.

3. How to find GCD of 38, 598, 736, 831 on a calculator?

You can find the GCD of 38, 598, 736, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.