GCD of 508, 645, 282, 810 Calculator

Given Input numbers are 508, 645, 282, 810

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 508, 645, 282, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 645, 282, 810 is 1.

Therefore, GCD of numbers 508, 645, 282, 810 is 1

Given Input Data is 508, 645, 282, 810

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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(508, 645) = 327660

GCD(508, 645) = ( 508 x 645 ) / 327660

GCD(508, 645) = 327660 / 327660

GCD(508, 645) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 1

GCD of 508, 645, 282, 810 is 1

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1. What is the GCD of 508, 645, 282, 810?

GCD of 508, 645, 282, 810 is 1

2. Where do I get the detailed procedure to find GCD of 508, 645, 282, 810?

You can find a detailed procedure to find GCD of 508, 645, 282, 810 on our page.

3. How to find GCD of 508, 645, 282, 810 on a calculator?

You can find the GCD of 508, 645, 282, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.