GCD of 717, 364, 21, 329 Calculator

Given Input numbers are 717, 364, 21, 329

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 21

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

1, 3, 7, 21

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 717, 364, 21, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 364, 21, 329 is 1.

Therefore, GCD of numbers 717, 364, 21, 329 is 1

Given Input Data is 717, 364, 21, 329

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 329 is 7 x 47

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(717, 364) = 260988

GCD(717, 364) = ( 717 x 364 ) / 260988

GCD(717, 364) = 260988 / 260988

GCD(717, 364) = 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 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 717, 364, 21, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 123, 44, 210
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• GCD of 878, 249, 65, 378
• GCD of 272, 935, 84, 770
• GCD of 465, 547, 39, 712

1. What is the GCD of 717, 364, 21, 329?

GCD of 717, 364, 21, 329 is 1

2. Where do I get the detailed procedure to find GCD of 717, 364, 21, 329?

You can find a detailed procedure to find GCD of 717, 364, 21, 329 on our page.

3. How to find GCD of 717, 364, 21, 329 on a calculator?

You can find the GCD of 717, 364, 21, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.