GCD of 42, 609, 680, 326 Calculator

Given Input numbers are 42, 609, 680, 326

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 42, 609, 680, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 609, 680, 326 is 1.

Therefore, GCD of numbers 42, 609, 680, 326 is 1

Given Input Data is 42, 609, 680, 326

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 326 is 2 x 163

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(42, 609) = 1218

GCD(42, 609) = ( 42 x 609 ) / 1218

GCD(42, 609) = 25578 / 1218

GCD(42, 609) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 680

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

LCM(21, 680) = 14280

GCD(21, 680) = ( 21 x 680 ) / 14280

GCD(21, 680) = 14280 / 14280

GCD(21, 680) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

GCD of 42, 609, 680, 326 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 935, 488, 367
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• GCD of 27, 115, 632, 159

1. What is the GCD of 42, 609, 680, 326?

GCD of 42, 609, 680, 326 is 1

2. Where do I get the detailed procedure to find GCD of 42, 609, 680, 326?

You can find a detailed procedure to find GCD of 42, 609, 680, 326 on our page.

3. How to find GCD of 42, 609, 680, 326 on a calculator?

You can find the GCD of 42, 609, 680, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.