GCD of 717, 378, 105, 317 Calculator

Given Input numbers are 717, 378, 105, 317

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 717, 378, 105, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 378, 105, 317 is 1.

Therefore, GCD of numbers 717, 378, 105, 317 is 1

Given Input Data is 717, 378, 105, 317

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 317 is 317

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, 378) = 90342

GCD(717, 378) = ( 717 x 378 ) / 90342

GCD(717, 378) = 271026 / 90342

GCD(717, 378) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 105

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

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

GCD(3, 105) = 315 / 105

GCD(3, 105) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 317

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

LCM(3, 317) = 951

GCD(3, 317) = ( 3 x 317 ) / 951

GCD(3, 317) = 951 / 951

GCD(3, 317) = 1

GCD of 717, 378, 105, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 495, 162, 426
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• GCD of 692, 906, 318, 710
• GCD of 816, 461, 153, 406
• GCD of 271, 573, 899, 545

1. What is the GCD of 717, 378, 105, 317?

GCD of 717, 378, 105, 317 is 1

2. Where do I get the detailed procedure to find GCD of 717, 378, 105, 317?

You can find a detailed procedure to find GCD of 717, 378, 105, 317 on our page.

3. How to find GCD of 717, 378, 105, 317 on a calculator?

You can find the GCD of 717, 378, 105, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.