GCD of 322, 385, 663, 686 Calculator

Given Input numbers are 322, 385, 663, 686

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 322, 385, 663, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 385, 663, 686 is 1.

Therefore, GCD of numbers 322, 385, 663, 686 is 1

Given Input Data is 322, 385, 663, 686

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(322, 385) = 17710

GCD(322, 385) = ( 322 x 385 ) / 17710

GCD(322, 385) = 123970 / 17710

GCD(322, 385) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 663

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

LCM(7, 663) = 4641

GCD(7, 663) = ( 7 x 663 ) / 4641

GCD(7, 663) = 4641 / 4641

GCD(7, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 322, 385, 663, 686 is 1

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1. What is the GCD of 322, 385, 663, 686?

GCD of 322, 385, 663, 686 is 1

2. Where do I get the detailed procedure to find GCD of 322, 385, 663, 686?

You can find a detailed procedure to find GCD of 322, 385, 663, 686 on our page.

3. How to find GCD of 322, 385, 663, 686 on a calculator?

You can find the GCD of 322, 385, 663, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.