GCD of 522, 123, 24, 275 Calculator

Given Input numbers are 522, 123, 24, 275

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 522, 123, 24, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 123, 24, 275 is 1.

Therefore, GCD of numbers 522, 123, 24, 275 is 1

Given Input Data is 522, 123, 24, 275

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 123 is 3 x 41

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 275 is 5 x 5 x 11

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, 123) = 21402

GCD(522, 123) = ( 522 x 123 ) / 21402

GCD(522, 123) = 64206 / 21402

GCD(522, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 275

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

LCM(3, 275) = 825

GCD(3, 275) = ( 3 x 275 ) / 825

GCD(3, 275) = 825 / 825

GCD(3, 275) = 1

GCD of 522, 123, 24, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 178, 60, 905
• GCD of 452, 647, 82, 591
• GCD of 861, 292, 38, 127
• GCD of 531, 886, 41, 214
• GCD of 795, 592, 67, 790

1. What is the GCD of 522, 123, 24, 275?

GCD of 522, 123, 24, 275 is 1

2. Where do I get the detailed procedure to find GCD of 522, 123, 24, 275?

You can find a detailed procedure to find GCD of 522, 123, 24, 275 on our page.

3. How to find GCD of 522, 123, 24, 275 on a calculator?

You can find the GCD of 522, 123, 24, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.