GCD of 199, 507, 524, 396 Calculator

Given Input numbers are 199, 507, 524, 396

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 199, 507, 524, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 507, 524, 396 is 1.

Therefore, GCD of numbers 199, 507, 524, 396 is 1

Given Input Data is 199, 507, 524, 396

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

Prime Factorization of 199 is 199

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(199, 507) = 100893

GCD(199, 507) = ( 199 x 507 ) / 100893

GCD(199, 507) = 100893 / 100893

GCD(199, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 199, 507, 524, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 488, 324, 230
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1. What is the GCD of 199, 507, 524, 396?

GCD of 199, 507, 524, 396 is 1

2. Where do I get the detailed procedure to find GCD of 199, 507, 524, 396?

You can find a detailed procedure to find GCD of 199, 507, 524, 396 on our page.

3. How to find GCD of 199, 507, 524, 396 on a calculator?

You can find the GCD of 199, 507, 524, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.