GCD of 839, 742, 58, 522 Calculator

Given Input numbers are 839, 742, 58, 522

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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 839, 742, 58, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 742, 58, 522 is 1.

Therefore, GCD of numbers 839, 742, 58, 522 is 1

Given Input Data is 839, 742, 58, 522

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

Prime Factorization of 839 is 839

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 58 is 2 x 29

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(839, 742) = 622538

GCD(839, 742) = ( 839 x 742 ) / 622538

GCD(839, 742) = 622538 / 622538

GCD(839, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 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 839, 742, 58, 522 is 1

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• GCD of 399, 152, 91, 434
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1. What is the GCD of 839, 742, 58, 522?

GCD of 839, 742, 58, 522 is 1

2. Where do I get the detailed procedure to find GCD of 839, 742, 58, 522?

You can find a detailed procedure to find GCD of 839, 742, 58, 522 on our page.

3. How to find GCD of 839, 742, 58, 522 on a calculator?

You can find the GCD of 839, 742, 58, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.