GCD of 58, 406, 501, 513 Calculator

Given Input numbers are 58, 406, 501, 513

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 58, 406, 501, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 406, 501, 513 is 1.

Therefore, GCD of numbers 58, 406, 501, 513 is 1

Given Input Data is 58, 406, 501, 513

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 501 is 3 x 167

Prime Factorization of 513 is 3 x 3 x 3 x 19

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, 406) = 406

GCD(58, 406) = ( 58 x 406 ) / 406

GCD(58, 406) = 23548 / 406

GCD(58, 406) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 501

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

LCM(58, 501) = 29058

GCD(58, 501) = ( 58 x 501 ) / 29058

GCD(58, 501) = 29058 / 29058

GCD(58, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 58, 406, 501, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 394, 100, 306
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• GCD of 22, 527, 168, 967
• GCD of 28, 874, 577, 515

1. What is the GCD of 58, 406, 501, 513?

GCD of 58, 406, 501, 513 is 1

2. Where do I get the detailed procedure to find GCD of 58, 406, 501, 513?

You can find a detailed procedure to find GCD of 58, 406, 501, 513 on our page.

3. How to find GCD of 58, 406, 501, 513 on a calculator?

You can find the GCD of 58, 406, 501, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.