GCD of 522, 712, 21, 334 Calculator

Given Input numbers are 522, 712, 21, 334

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 522, 712, 21, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 712, 21, 334 is 1.

Therefore, GCD of numbers 522, 712, 21, 334 is 1

Given Input Data is 522, 712, 21, 334

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 21 is 3 x 7

Prime Factorization of 334 is 2 x 167

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, 712) = 185832

GCD(522, 712) = ( 522 x 712 ) / 185832

GCD(522, 712) = 371664 / 185832

GCD(522, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 522, 712, 21, 334 is 1

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• GCD of 593, 595, 94, 410
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1. What is the GCD of 522, 712, 21, 334?

GCD of 522, 712, 21, 334 is 1

2. Where do I get the detailed procedure to find GCD of 522, 712, 21, 334?

You can find a detailed procedure to find GCD of 522, 712, 21, 334 on our page.

3. How to find GCD of 522, 712, 21, 334 on a calculator?

You can find the GCD of 522, 712, 21, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.