GCD of 631, 274, 784, 816 Calculator

Given Input numbers are 631, 274, 784, 816

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

Divisors of 631

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

1, 631

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 631, 274, 784, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 631, 274, 784, 816 is 1.

Therefore, GCD of numbers 631, 274, 784, 816 is 1

Given Input Data is 631, 274, 784, 816

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

Prime Factorization of 631 is 631

Prime Factorization of 274 is 2 x 137

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(631, 274) = 172894

GCD(631, 274) = ( 631 x 274 ) / 172894

GCD(631, 274) = 172894 / 172894

GCD(631, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 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 631, 274, 784, 816 is 1

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1. What is the GCD of 631, 274, 784, 816?

GCD of 631, 274, 784, 816 is 1

2. Where do I get the detailed procedure to find GCD of 631, 274, 784, 816?

You can find a detailed procedure to find GCD of 631, 274, 784, 816 on our page.

3. How to find GCD of 631, 274, 784, 816 on a calculator?

You can find the GCD of 631, 274, 784, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.