GCD of 499, 418, 40, 513 Calculator

Given Input numbers are 499, 418, 40, 513

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 499, 418, 40, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 418, 40, 513 is 1.

Therefore, GCD of numbers 499, 418, 40, 513 is 1

Given Input Data is 499, 418, 40, 513

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

Prime Factorization of 499 is 499

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(499, 418) = 208582

GCD(499, 418) = ( 499 x 418 ) / 208582

GCD(499, 418) = 208582 / 208582

GCD(499, 418) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 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 499, 418, 40, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 483, 54, 771
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• GCD of 591, 689, 96, 244
• GCD of 770, 342, 23, 658

1. What is the GCD of 499, 418, 40, 513?

GCD of 499, 418, 40, 513 is 1

2. Where do I get the detailed procedure to find GCD of 499, 418, 40, 513?

You can find a detailed procedure to find GCD of 499, 418, 40, 513 on our page.

3. How to find GCD of 499, 418, 40, 513 on a calculator?

You can find the GCD of 499, 418, 40, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.