GCD of 510, 513, 73, 816 Calculator

Given Input numbers are 510, 513, 73, 816

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 513

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

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 510, 513, 73, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 513, 73, 816 is 1.

Therefore, GCD of numbers 510, 513, 73, 816 is 1

Given Input Data is 510, 513, 73, 816

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 513 is 3 x 3 x 3 x 19

Prime Factorization of 73 is 73

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 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(510, 513) = 87210

GCD(510, 513) = ( 510 x 513 ) / 87210

GCD(510, 513) = 261630 / 87210

GCD(510, 513) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 510, 513, 73, 816 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 868, 45, 791
• GCD of 552, 531, 96, 495
• GCD of 305, 521, 52, 408
• GCD of 220, 720, 59, 613
• GCD of 867, 747, 29, 166

1. What is the GCD of 510, 513, 73, 816?

GCD of 510, 513, 73, 816 is 1

2. Where do I get the detailed procedure to find GCD of 510, 513, 73, 816?

You can find a detailed procedure to find GCD of 510, 513, 73, 816 on our page.

3. How to find GCD of 510, 513, 73, 816 on a calculator?

You can find the GCD of 510, 513, 73, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.