GCD of 816, 474, 627, 631 Calculator

Given Input numbers are 816, 474, 627, 631

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

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 816, 474, 627, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 474, 627, 631 is 1.

Therefore, GCD of numbers 816, 474, 627, 631 is 1

Given Input Data is 816, 474, 627, 631

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 631 is 631

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(816, 474) = 64464

GCD(816, 474) = ( 816 x 474 ) / 64464

GCD(816, 474) = 386784 / 64464

GCD(816, 474) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 627

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

LCM(6, 627) = 1254

GCD(6, 627) = ( 6 x 627 ) / 1254

GCD(6, 627) = 3762 / 1254

GCD(6, 627) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 631

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

LCM(3, 631) = 1893

GCD(3, 631) = ( 3 x 631 ) / 1893

GCD(3, 631) = 1893 / 1893

GCD(3, 631) = 1

GCD of 816, 474, 627, 631 is 1

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1. What is the GCD of 816, 474, 627, 631?

GCD of 816, 474, 627, 631 is 1

2. Where do I get the detailed procedure to find GCD of 816, 474, 627, 631?

You can find a detailed procedure to find GCD of 816, 474, 627, 631 on our page.

3. How to find GCD of 816, 474, 627, 631 on a calculator?

You can find the GCD of 816, 474, 627, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.