GCD of 34, 731, 838, 813 Calculator

Given Input numbers are 34, 731, 838, 813

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 838

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

1, 2, 419, 838

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 34, 731, 838, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 731, 838, 813 is 1.

Therefore, GCD of numbers 34, 731, 838, 813 is 1

Given Input Data is 34, 731, 838, 813

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 731 is 17 x 43

Prime Factorization of 838 is 2 x 419

Prime Factorization of 813 is 3 x 271

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(34, 731) = 1462

GCD(34, 731) = ( 34 x 731 ) / 1462

GCD(34, 731) = 24854 / 1462

GCD(34, 731) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 838

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

LCM(17, 838) = 14246

GCD(17, 838) = ( 17 x 838 ) / 14246

GCD(17, 838) = 14246 / 14246

GCD(17, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 34, 731, 838, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 249, 176, 394
• GCD of 27, 802, 401, 257
• GCD of 16, 233, 964, 146
• GCD of 99, 100, 132, 633
• GCD of 99, 318, 541, 773

1. What is the GCD of 34, 731, 838, 813?

GCD of 34, 731, 838, 813 is 1

2. Where do I get the detailed procedure to find GCD of 34, 731, 838, 813?

You can find a detailed procedure to find GCD of 34, 731, 838, 813 on our page.

3. How to find GCD of 34, 731, 838, 813 on a calculator?

You can find the GCD of 34, 731, 838, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.