GCD of 674, 338, 393 Calculator

Given Input numbers are 674, 338, 393

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 674, 338, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 338, 393 is 1.

Therefore, GCD of numbers 674, 338, 393 is 1

Given Input Data is 674, 338, 393

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 393 is 3 x 131

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(674, 338) = 113906

GCD(674, 338) = ( 674 x 338 ) / 113906

GCD(674, 338) = 227812 / 113906

GCD(674, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 393

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

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

GCD(2, 393) = 786 / 786

GCD(2, 393) = 1

GCD of 674, 338, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 298, 246
• GCD of 550, 298, 436
• GCD of 841, 766, 976
• GCD of 758, 905, 672
• GCD of 164, 883, 561

1. What is the GCD of 674, 338, 393?

GCD of 674, 338, 393 is 1

2. Where do I get the detailed procedure to find GCD of 674, 338, 393?

You can find a detailed procedure to find GCD of 674, 338, 393 on our page.

3. How to find GCD of 674, 338, 393 on a calculator?

You can find the GCD of 674, 338, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.