GCD of 794, 812, 18, 213 Calculator

Given Input numbers are 794, 812, 18, 213

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

Divisors of 794

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

1, 2, 397, 794

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 794, 812, 18, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 812, 18, 213 is 1.

Therefore, GCD of numbers 794, 812, 18, 213 is 1

Given Input Data is 794, 812, 18, 213

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 213 is 3 x 71

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(794, 812) = 322364

GCD(794, 812) = ( 794 x 812 ) / 322364

GCD(794, 812) = 644728 / 322364

GCD(794, 812) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 794, 812, 18, 213 is 1

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1. What is the GCD of 794, 812, 18, 213?

GCD of 794, 812, 18, 213 is 1

2. Where do I get the detailed procedure to find GCD of 794, 812, 18, 213?

You can find a detailed procedure to find GCD of 794, 812, 18, 213 on our page.

3. How to find GCD of 794, 812, 18, 213 on a calculator?

You can find the GCD of 794, 812, 18, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.