GCD of 315, 697, 33, 522 Calculator

Given Input numbers are 315, 697, 33, 522

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 315, 697, 33, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 697, 33, 522 is 1.

Therefore, GCD of numbers 315, 697, 33, 522 is 1

Given Input Data is 315, 697, 33, 522

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 697 is 17 x 41

Prime Factorization of 33 is 3 x 11

Prime Factorization of 522 is 2 x 3 x 3 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, 697) = 219555

GCD(315, 697) = ( 315 x 697 ) / 219555

GCD(315, 697) = 219555 / 219555

GCD(315, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 315, 697, 33, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 513, 25, 446
• GCD of 154, 320, 70, 452
• GCD of 997, 482, 20, 252
• GCD of 217, 463, 53, 784
• GCD of 846, 274, 23, 415

1. What is the GCD of 315, 697, 33, 522?

GCD of 315, 697, 33, 522 is 1

2. Where do I get the detailed procedure to find GCD of 315, 697, 33, 522?

You can find a detailed procedure to find GCD of 315, 697, 33, 522 on our page.

3. How to find GCD of 315, 697, 33, 522 on a calculator?

You can find the GCD of 315, 697, 33, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.