GCD of 713, 349, 581, 522 Calculator

Given Input numbers are 713, 349, 581, 522

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

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

Greatest Common Divisior

We found the divisors of 713, 349, 581, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 349, 581, 522 is 1.

Therefore, GCD of numbers 713, 349, 581, 522 is 1

Given Input Data is 713, 349, 581, 522

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 713 is 23 x 31

Prime Factorization of 349 is 349

Prime Factorization of 581 is 7 x 83

Prime Factorization of 522 is 2 x 3 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(713, 349) = 248837

GCD(713, 349) = ( 713 x 349 ) / 248837

GCD(713, 349) = 248837 / 248837

GCD(713, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 713, 349, 581, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 167, 919, 531
• GCD of 850, 333, 175, 713
• GCD of 624, 398, 852, 107
• GCD of 321, 666, 556, 506
• GCD of 558, 297, 893, 470

1. What is the GCD of 713, 349, 581, 522?

GCD of 713, 349, 581, 522 is 1

2. Where do I get the detailed procedure to find GCD of 713, 349, 581, 522?

You can find a detailed procedure to find GCD of 713, 349, 581, 522 on our page.

3. How to find GCD of 713, 349, 581, 522 on a calculator?

You can find the GCD of 713, 349, 581, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.