GCD of 522, 423, 623, 348 Calculator

Given Input numbers are 522, 423, 623, 348

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 522, 423, 623, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 423, 623, 348 is 1.

Therefore, GCD of numbers 522, 423, 623, 348 is 1

Given Input Data is 522, 423, 623, 348

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 423 is 3 x 3 x 47

Prime Factorization of 623 is 7 x 89

Prime Factorization of 348 is 2 x 2 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(522, 423) = 24534

GCD(522, 423) = ( 522 x 423 ) / 24534

GCD(522, 423) = 220806 / 24534

GCD(522, 423) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 623

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

LCM(9, 623) = 5607

GCD(9, 623) = ( 9 x 623 ) / 5607

GCD(9, 623) = 5607 / 5607

GCD(9, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 522, 423, 623, 348 is 1

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1. What is the GCD of 522, 423, 623, 348?

GCD of 522, 423, 623, 348 is 1

2. Where do I get the detailed procedure to find GCD of 522, 423, 623, 348?

You can find a detailed procedure to find GCD of 522, 423, 623, 348 on our page.

3. How to find GCD of 522, 423, 623, 348 on a calculator?

You can find the GCD of 522, 423, 623, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.