GCD of 522, 175, 869, 361 Calculator

Given Input numbers are 522, 175, 869, 361

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

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 522, 175, 869, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 175, 869, 361 is 1.

Therefore, GCD of numbers 522, 175, 869, 361 is 1

Given Input Data is 522, 175, 869, 361

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 869 is 11 x 79

Prime Factorization of 361 is 19 x 19

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(522, 175) = 91350

GCD(522, 175) = ( 522 x 175 ) / 91350

GCD(522, 175) = 91350 / 91350

GCD(522, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 522, 175, 869, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 347, 570, 140
• GCD of 376, 327, 531, 155
• GCD of 263, 697, 154, 434
• GCD of 994, 885, 591, 633
• GCD of 638, 710, 685, 897

1. What is the GCD of 522, 175, 869, 361?

GCD of 522, 175, 869, 361 is 1

2. Where do I get the detailed procedure to find GCD of 522, 175, 869, 361?

You can find a detailed procedure to find GCD of 522, 175, 869, 361 on our page.

3. How to find GCD of 522, 175, 869, 361 on a calculator?

You can find the GCD of 522, 175, 869, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.