GCD of 655, 729, 14, 717 Calculator

Given Input numbers are 655, 729, 14, 717

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

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 717

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

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 655, 729, 14, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 729, 14, 717 is 1.

Therefore, GCD of numbers 655, 729, 14, 717 is 1

Given Input Data is 655, 729, 14, 717

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 14 is 2 x 7

Prime Factorization of 717 is 3 x 239

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(655, 729) = 477495

GCD(655, 729) = ( 655 x 729 ) / 477495

GCD(655, 729) = 477495 / 477495

GCD(655, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 655, 729, 14, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 679, 82, 782
• GCD of 897, 194, 14, 966
• GCD of 612, 107, 45, 893
• GCD of 689, 644, 21, 580
• GCD of 622, 381, 66, 862

1. What is the GCD of 655, 729, 14, 717?

GCD of 655, 729, 14, 717 is 1

2. Where do I get the detailed procedure to find GCD of 655, 729, 14, 717?

You can find a detailed procedure to find GCD of 655, 729, 14, 717 on our page.

3. How to find GCD of 655, 729, 14, 717 on a calculator?

You can find the GCD of 655, 729, 14, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.