GCD of 463, 510, 874, 816 Calculator

Given Input numbers are 463, 510, 874, 816

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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 463, 510, 874, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 510, 874, 816 is 1.

Therefore, GCD of numbers 463, 510, 874, 816 is 1

Given Input Data is 463, 510, 874, 816

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

Prime Factorization of 463 is 463

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

Prime Factorization of 874 is 2 x 19 x 23

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(463, 510) = 236130

GCD(463, 510) = ( 463 x 510 ) / 236130

GCD(463, 510) = 236130 / 236130

GCD(463, 510) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 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 463, 510, 874, 816 is 1

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1. What is the GCD of 463, 510, 874, 816?

GCD of 463, 510, 874, 816 is 1

2. Where do I get the detailed procedure to find GCD of 463, 510, 874, 816?

You can find a detailed procedure to find GCD of 463, 510, 874, 816 on our page.

3. How to find GCD of 463, 510, 874, 816 on a calculator?

You can find the GCD of 463, 510, 874, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.