GCD of 513, 996, 19, 272 Calculator

Given Input numbers are 513, 996, 19, 272

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

Divisors of 513

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

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 513, 996, 19, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 996, 19, 272 is 1.

Therefore, GCD of numbers 513, 996, 19, 272 is 1

Given Input Data is 513, 996, 19, 272

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

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 19 is 19

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(513, 996) = 170316

GCD(513, 996) = ( 513 x 996 ) / 170316

GCD(513, 996) = 510948 / 170316

GCD(513, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 19

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

LCM(3, 19) = 57

GCD(3, 19) = ( 3 x 19 ) / 57

GCD(3, 19) = 57 / 57

GCD(3, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 513, 996, 19, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 602, 30, 530
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• GCD of 711, 610, 95, 509

1. What is the GCD of 513, 996, 19, 272?

GCD of 513, 996, 19, 272 is 1

2. Where do I get the detailed procedure to find GCD of 513, 996, 19, 272?

You can find a detailed procedure to find GCD of 513, 996, 19, 272 on our page.

3. How to find GCD of 513, 996, 19, 272 on a calculator?

You can find the GCD of 513, 996, 19, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.