GCD of 816, 112, 457, 874 Calculator

Given Input numbers are 816, 112, 457, 874

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 874

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

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

Greatest Common Divisior

We found the divisors of 816, 112, 457, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 112, 457, 874 is 1.

Therefore, GCD of numbers 816, 112, 457, 874 is 1

Given Input Data is 816, 112, 457, 874

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 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 457 is 457

Prime Factorization of 874 is 2 x 19 x 23

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, 112) = 5712

GCD(816, 112) = ( 816 x 112 ) / 5712

GCD(816, 112) = 91392 / 5712

GCD(816, 112) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 457

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

LCM(16, 457) = 7312

GCD(16, 457) = ( 16 x 457 ) / 7312

GCD(16, 457) = 7312 / 7312

GCD(16, 457) = 1

Step3:

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

GCD of 816, 112, 457, 874 is 1

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1. What is the GCD of 816, 112, 457, 874?

GCD of 816, 112, 457, 874 is 1

2. Where do I get the detailed procedure to find GCD of 816, 112, 457, 874?

You can find a detailed procedure to find GCD of 816, 112, 457, 874 on our page.

3. How to find GCD of 816, 112, 457, 874 on a calculator?

You can find the GCD of 816, 112, 457, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.