GCD of 513, 229, 48, 496 Calculator

Given Input numbers are 513, 229, 48, 496

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 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 513, 229, 48, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 229, 48, 496 is 1.

Therefore, GCD of numbers 513, 229, 48, 496 is 1

Given Input Data is 513, 229, 48, 496

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 229 is 229

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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, 229) = 117477

GCD(513, 229) = ( 513 x 229 ) / 117477

GCD(513, 229) = 117477 / 117477

GCD(513, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 513, 229, 48, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 384, 65, 867
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• GCD of 638, 543, 91, 584

1. What is the GCD of 513, 229, 48, 496?

GCD of 513, 229, 48, 496 is 1

2. Where do I get the detailed procedure to find GCD of 513, 229, 48, 496?

You can find a detailed procedure to find GCD of 513, 229, 48, 496 on our page.

3. How to find GCD of 513, 229, 48, 496 on a calculator?

You can find the GCD of 513, 229, 48, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.