GCD of 217, 409, 21, 344 Calculator

Given Input numbers are 217, 409, 21, 344

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 409

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

1, 409

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 217, 409, 21, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 409, 21, 344 is 1.

Therefore, GCD of numbers 217, 409, 21, 344 is 1

Given Input Data is 217, 409, 21, 344

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 409 is 409

Prime Factorization of 21 is 3 x 7

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(217, 409) = 88753

GCD(217, 409) = ( 217 x 409 ) / 88753

GCD(217, 409) = 88753 / 88753

GCD(217, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 217, 409, 21, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 356, 22, 379
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• GCD of 337, 149, 17, 477
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• GCD of 514, 310, 62, 256

1. What is the GCD of 217, 409, 21, 344?

GCD of 217, 409, 21, 344 is 1

2. Where do I get the detailed procedure to find GCD of 217, 409, 21, 344?

You can find a detailed procedure to find GCD of 217, 409, 21, 344 on our page.

3. How to find GCD of 217, 409, 21, 344 on a calculator?

You can find the GCD of 217, 409, 21, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.