GCD of 315, 663, 15, 551 Calculator

Given Input numbers are 315, 663, 15, 551

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

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Greatest Common Divisior

We found the divisors of 315, 663, 15, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 663, 15, 551 is 1.

Therefore, GCD of numbers 315, 663, 15, 551 is 1

Given Input Data is 315, 663, 15, 551

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

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 15 is 3 x 5

Prime Factorization of 551 is 19 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(315, 663) = 69615

GCD(315, 663) = ( 315 x 663 ) / 69615

GCD(315, 663) = 208845 / 69615

GCD(315, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 551

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

LCM(3, 551) = 1653

GCD(3, 551) = ( 3 x 551 ) / 1653

GCD(3, 551) = 1653 / 1653

GCD(3, 551) = 1

GCD of 315, 663, 15, 551 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 628, 63, 614
• GCD of 676, 199, 23, 552
• GCD of 779, 870, 35, 968
• GCD of 801, 667, 66, 519
• GCD of 543, 244, 37, 709

1. What is the GCD of 315, 663, 15, 551?

GCD of 315, 663, 15, 551 is 1

2. Where do I get the detailed procedure to find GCD of 315, 663, 15, 551?

You can find a detailed procedure to find GCD of 315, 663, 15, 551 on our page.

3. How to find GCD of 315, 663, 15, 551 on a calculator?

You can find the GCD of 315, 663, 15, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.