GCD of 58, 523, 613, 106 Calculator

Given Input numbers are 58, 523, 613, 106

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 58, 523, 613, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 523, 613, 106 is 1.

Therefore, GCD of numbers 58, 523, 613, 106 is 1

Given Input Data is 58, 523, 613, 106

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 523 is 523

Prime Factorization of 613 is 613

Prime Factorization of 106 is 2 x 53

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(58, 523) = 30334

GCD(58, 523) = ( 58 x 523 ) / 30334

GCD(58, 523) = 30334 / 30334

GCD(58, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 58, 523, 613, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 395, 643, 112
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• GCD of 99, 597, 690, 452
• GCD of 36, 897, 494, 990

1. What is the GCD of 58, 523, 613, 106?

GCD of 58, 523, 613, 106 is 1

2. Where do I get the detailed procedure to find GCD of 58, 523, 613, 106?

You can find a detailed procedure to find GCD of 58, 523, 613, 106 on our page.

3. How to find GCD of 58, 523, 613, 106 on a calculator?

You can find the GCD of 58, 523, 613, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.