GCD of 794, 213, 22, 338 Calculator

Given Input numbers are 794, 213, 22, 338

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 213

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

1, 3, 71, 213

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 794, 213, 22, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 213, 22, 338 is 1.

Therefore, GCD of numbers 794, 213, 22, 338 is 1

Given Input Data is 794, 213, 22, 338

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 213 is 3 x 71

Prime Factorization of 22 is 2 x 11

Prime Factorization of 338 is 2 x 13 x 13

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, 213) = 169122

GCD(794, 213) = ( 794 x 213 ) / 169122

GCD(794, 213) = 169122 / 169122

GCD(794, 213) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 794, 213, 22, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 699, 50, 125
• GCD of 290, 241, 27, 345
• GCD of 760, 479, 76, 412
• GCD of 823, 723, 78, 593
• GCD of 236, 582, 11, 455

1. What is the GCD of 794, 213, 22, 338?

GCD of 794, 213, 22, 338 is 1

2. Where do I get the detailed procedure to find GCD of 794, 213, 22, 338?

You can find a detailed procedure to find GCD of 794, 213, 22, 338 on our page.

3. How to find GCD of 794, 213, 22, 338 on a calculator?

You can find the GCD of 794, 213, 22, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.