GCD of 344, 398, 65, 683 Calculator

Given Input numbers are 344, 398, 65, 683

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 344, 398, 65, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 398, 65, 683 is 1.

Therefore, GCD of numbers 344, 398, 65, 683 is 1

Given Input Data is 344, 398, 65, 683

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 398 is 2 x 199

Prime Factorization of 65 is 5 x 13

Prime Factorization of 683 is 683

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(344, 398) = 68456

GCD(344, 398) = ( 344 x 398 ) / 68456

GCD(344, 398) = 136912 / 68456

GCD(344, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 344, 398, 65, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 129, 38, 790
• GCD of 238, 991, 80, 279
• GCD of 917, 649, 88, 372
• GCD of 371, 680, 57, 748
• GCD of 715, 711, 58, 264

1. What is the GCD of 344, 398, 65, 683?

GCD of 344, 398, 65, 683 is 1

2. Where do I get the detailed procedure to find GCD of 344, 398, 65, 683?

You can find a detailed procedure to find GCD of 344, 398, 65, 683 on our page.

3. How to find GCD of 344, 398, 65, 683 on a calculator?

You can find the GCD of 344, 398, 65, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.