GCD of 104, 363, 753, 522 Calculator

Given Input numbers are 104, 363, 753, 522

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

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 104, 363, 753, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 363, 753, 522 is 1.

Therefore, GCD of numbers 104, 363, 753, 522 is 1

Given Input Data is 104, 363, 753, 522

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 753 is 3 x 251

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(104, 363) = 37752

GCD(104, 363) = ( 104 x 363 ) / 37752

GCD(104, 363) = 37752 / 37752

GCD(104, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 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 104, 363, 753, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 991, 305, 733
• GCD of 753, 813, 113, 366
• GCD of 743, 674, 808, 839
• GCD of 720, 730, 646, 956
• GCD of 888, 787, 302, 207

1. What is the GCD of 104, 363, 753, 522?

GCD of 104, 363, 753, 522 is 1

2. Where do I get the detailed procedure to find GCD of 104, 363, 753, 522?

You can find a detailed procedure to find GCD of 104, 363, 753, 522 on our page.

3. How to find GCD of 104, 363, 753, 522 on a calculator?

You can find the GCD of 104, 363, 753, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.