GCD of 816, 114, 472, 914 Calculator

Given Input numbers are 816, 114, 472, 914

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 816, 114, 472, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 114, 472, 914 is 2.

Therefore, GCD of numbers 816, 114, 472, 914 is 2

Given Input Data is 816, 114, 472, 914

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 114 is 2 x 3 x 19

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 914 is 2 x 457

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 114) = 15504

GCD(816, 114) = ( 816 x 114 ) / 15504

GCD(816, 114) = 93024 / 15504

GCD(816, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 472

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

LCM(6, 472) = 1416

GCD(6, 472) = ( 6 x 472 ) / 1416

GCD(6, 472) = 2832 / 1416

GCD(6, 472) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 914

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

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

GCD(2, 914) = 1828 / 914

GCD(2, 914) = 2

GCD of 816, 114, 472, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 534, 281, 478
• GCD of 437, 759, 429, 686
• GCD of 156, 807, 744, 401
• GCD of 523, 231, 954, 545
• GCD of 708, 659, 964, 176

1. What is the GCD of 816, 114, 472, 914?

GCD of 816, 114, 472, 914 is 2

2. Where do I get the detailed procedure to find GCD of 816, 114, 472, 914?

You can find a detailed procedure to find GCD of 816, 114, 472, 914 on our page.

3. How to find GCD of 816, 114, 472, 914 on a calculator?

You can find the GCD of 816, 114, 472, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.