GCD of 522, 647, 648, 623 Calculator

Given Input numbers are 522, 647, 648, 623

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 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 623

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

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 522, 647, 648, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 647, 648, 623 is 1.

Therefore, GCD of numbers 522, 647, 648, 623 is 1

Given Input Data is 522, 647, 648, 623

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 647 is 647

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 623 is 7 x 89

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, 647) = 337734

GCD(522, 647) = ( 522 x 647 ) / 337734

GCD(522, 647) = 337734 / 337734

GCD(522, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 522, 647, 648, 623 is 1

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1. What is the GCD of 522, 647, 648, 623?

GCD of 522, 647, 648, 623 is 1

2. Where do I get the detailed procedure to find GCD of 522, 647, 648, 623?

You can find a detailed procedure to find GCD of 522, 647, 648, 623 on our page.

3. How to find GCD of 522, 647, 648, 623 on a calculator?

You can find the GCD of 522, 647, 648, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.