GCD of 522, 723, 681 Calculator

Given Input numbers are 522, 723, 681

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 522, 723, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 723, 681 is 3.

Therefore, GCD of numbers 522, 723, 681 is 3

Given Input Data is 522, 723, 681

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 723 is 3 x 241

Prime Factorization of 681 is 3 x 227

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 723) = 125802

GCD(522, 723) = ( 522 x 723 ) / 125802

GCD(522, 723) = 377406 / 125802

GCD(522, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 681

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

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

GCD(3, 681) = 2043 / 681

GCD(3, 681) = 3

GCD of 522, 723, 681 is 3

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1. What is the GCD of 522, 723, 681?

GCD of 522, 723, 681 is 3

2. Where do I get the detailed procedure to find GCD of 522, 723, 681?

You can find a detailed procedure to find GCD of 522, 723, 681 on our page.

3. How to find GCD of 522, 723, 681 on a calculator?

You can find the GCD of 522, 723, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.