GCD of 510, 186, 531, 424 Calculator

Given Input numbers are 510, 186, 531, 424

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 510, 186, 531, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 186, 531, 424 is 1.

Therefore, GCD of numbers 510, 186, 531, 424 is 1

Given Input Data is 510, 186, 531, 424

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 424 is 2 x 2 x 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(510, 186) = 15810

GCD(510, 186) = ( 510 x 186 ) / 15810

GCD(510, 186) = 94860 / 15810

GCD(510, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 531

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

LCM(6, 531) = 1062

GCD(6, 531) = ( 6 x 531 ) / 1062

GCD(6, 531) = 3186 / 1062

GCD(6, 531) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 424

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

LCM(3, 424) = 1272

GCD(3, 424) = ( 3 x 424 ) / 1272

GCD(3, 424) = 1272 / 1272

GCD(3, 424) = 1

GCD of 510, 186, 531, 424 is 1

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• GCD of 873, 542, 693, 367
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1. What is the GCD of 510, 186, 531, 424?

GCD of 510, 186, 531, 424 is 1

2. Where do I get the detailed procedure to find GCD of 510, 186, 531, 424?

You can find a detailed procedure to find GCD of 510, 186, 531, 424 on our page.

3. How to find GCD of 510, 186, 531, 424 on a calculator?

You can find the GCD of 510, 186, 531, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.