GCD of 794, 678, 173, 319 Calculator

Given Input numbers are 794, 678, 173, 319

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 794, 678, 173, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 678, 173, 319 is 1.

Therefore, GCD of numbers 794, 678, 173, 319 is 1

Given Input Data is 794, 678, 173, 319

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 173 is 173

Prime Factorization of 319 is 11 x 29

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, 678) = 269166

GCD(794, 678) = ( 794 x 678 ) / 269166

GCD(794, 678) = 538332 / 269166

GCD(794, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 173

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

LCM(2, 173) = 346

GCD(2, 173) = ( 2 x 173 ) / 346

GCD(2, 173) = 346 / 346

GCD(2, 173) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 794, 678, 173, 319 is 1

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• GCD of 685, 265, 600, 384
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1. What is the GCD of 794, 678, 173, 319?

GCD of 794, 678, 173, 319 is 1

2. Where do I get the detailed procedure to find GCD of 794, 678, 173, 319?

You can find a detailed procedure to find GCD of 794, 678, 173, 319 on our page.

3. How to find GCD of 794, 678, 173, 319 on a calculator?

You can find the GCD of 794, 678, 173, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.