GCD of 364, 689, 17, 683 Calculator

Given Input numbers are 364, 689, 17, 683

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 364, 689, 17, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 689, 17, 683 is 1.

Therefore, GCD of numbers 364, 689, 17, 683 is 1

Given Input Data is 364, 689, 17, 683

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 689 is 13 x 53

Prime Factorization of 17 is 17

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(364, 689) = 19292

GCD(364, 689) = ( 364 x 689 ) / 19292

GCD(364, 689) = 250796 / 19292

GCD(364, 689) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 17

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

LCM(13, 17) = 221

GCD(13, 17) = ( 13 x 17 ) / 221

GCD(13, 17) = 221 / 221

GCD(13, 17) = 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 364, 689, 17, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 542, 46, 949
• GCD of 869, 712, 70, 521
• GCD of 129, 783, 27, 719
• GCD of 731, 947, 93, 983
• GCD of 845, 216, 57, 421

1. What is the GCD of 364, 689, 17, 683?

GCD of 364, 689, 17, 683 is 1

2. Where do I get the detailed procedure to find GCD of 364, 689, 17, 683?

You can find a detailed procedure to find GCD of 364, 689, 17, 683 on our page.

3. How to find GCD of 364, 689, 17, 683 on a calculator?

You can find the GCD of 364, 689, 17, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.