GCD of 714, 363, 315, 638 Calculator

Given Input numbers are 714, 363, 315, 638

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 638

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

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

Greatest Common Divisior

We found the divisors of 714, 363, 315, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 363, 315, 638 is 1.

Therefore, GCD of numbers 714, 363, 315, 638 is 1

Given Input Data is 714, 363, 315, 638

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 638 is 2 x 11 x 29

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(714, 363) = 86394

GCD(714, 363) = ( 714 x 363 ) / 86394

GCD(714, 363) = 259182 / 86394

GCD(714, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 315

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

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

GCD(3, 315) = 945 / 315

GCD(3, 315) = 3

Step3:

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

GCD of 714, 363, 315, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 524, 850, 490
• GCD of 194, 477, 569, 598
• GCD of 989, 334, 855, 971
• GCD of 803, 110, 705, 931
• GCD of 762, 213, 860, 311

1. What is the GCD of 714, 363, 315, 638?

GCD of 714, 363, 315, 638 is 1

2. Where do I get the detailed procedure to find GCD of 714, 363, 315, 638?

You can find a detailed procedure to find GCD of 714, 363, 315, 638 on our page.

3. How to find GCD of 714, 363, 315, 638 on a calculator?

You can find the GCD of 714, 363, 315, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.