GCD of 687, 346, 337, 322 Calculator

Given Input numbers are 687, 346, 337, 322

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 322

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

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

Greatest Common Divisior

We found the divisors of 687, 346, 337, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 346, 337, 322 is 1.

Therefore, GCD of numbers 687, 346, 337, 322 is 1

Given Input Data is 687, 346, 337, 322

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 346 is 2 x 173

Prime Factorization of 337 is 337

Prime Factorization of 322 is 2 x 7 x 23

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(687, 346) = 237702

GCD(687, 346) = ( 687 x 346 ) / 237702

GCD(687, 346) = 237702 / 237702

GCD(687, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 337

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

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

GCD(1, 337) = 337 / 337

GCD(1, 337) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 687, 346, 337, 322 is 1

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1. What is the GCD of 687, 346, 337, 322?

GCD of 687, 346, 337, 322 is 1

2. Where do I get the detailed procedure to find GCD of 687, 346, 337, 322?

You can find a detailed procedure to find GCD of 687, 346, 337, 322 on our page.

3. How to find GCD of 687, 346, 337, 322 on a calculator?

You can find the GCD of 687, 346, 337, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.