GCD of 717, 624, 638, 721 Calculator

Given Input numbers are 717, 624, 638, 721

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 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 717, 624, 638, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 624, 638, 721 is 1.

Therefore, GCD of numbers 717, 624, 638, 721 is 1

Given Input Data is 717, 624, 638, 721

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 721 is 7 x 103

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, 624) = 149136

GCD(717, 624) = ( 717 x 624 ) / 149136

GCD(717, 624) = 447408 / 149136

GCD(717, 624) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 638

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

LCM(3, 638) = 1914

GCD(3, 638) = ( 3 x 638 ) / 1914

GCD(3, 638) = 1914 / 1914

GCD(3, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 717, 624, 638, 721 is 1

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1. What is the GCD of 717, 624, 638, 721?

GCD of 717, 624, 638, 721 is 1

2. Where do I get the detailed procedure to find GCD of 717, 624, 638, 721?

You can find a detailed procedure to find GCD of 717, 624, 638, 721 on our page.

3. How to find GCD of 717, 624, 638, 721 on a calculator?

You can find the GCD of 717, 624, 638, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.