GCD of 20, 680, 342, 409 Calculator

Given Input numbers are 20, 680, 342, 409

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 20, 680, 342, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 680, 342, 409 is 1.

Therefore, GCD of numbers 20, 680, 342, 409 is 1

Given Input Data is 20, 680, 342, 409

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

Prime Factorization of 20 is 2 x 2 x 5

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 409 is 409

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(20, 680) = 680

GCD(20, 680) = ( 20 x 680 ) / 680

GCD(20, 680) = 13600 / 680

GCD(20, 680) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 342

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

LCM(20, 342) = 3420

GCD(20, 342) = ( 20 x 342 ) / 3420

GCD(20, 342) = 6840 / 3420

GCD(20, 342) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

GCD of 20, 680, 342, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 223, 242, 515
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• GCD of 49, 644, 592, 874

1. What is the GCD of 20, 680, 342, 409?

GCD of 20, 680, 342, 409 is 1

2. Where do I get the detailed procedure to find GCD of 20, 680, 342, 409?

You can find a detailed procedure to find GCD of 20, 680, 342, 409 on our page.

3. How to find GCD of 20, 680, 342, 409 on a calculator?

You can find the GCD of 20, 680, 342, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.