GCD of 816, 440, 788, 416 Calculator

Given Input numbers are 816, 440, 788, 416

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 816, 440, 788, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 440, 788, 416 is 4.

Therefore, GCD of numbers 816, 440, 788, 416 is 4

Given Input Data is 816, 440, 788, 416

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 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 440) = 44880

GCD(816, 440) = ( 816 x 440 ) / 44880

GCD(816, 440) = 359040 / 44880

GCD(816, 440) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 788

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

LCM(8, 788) = 1576

GCD(8, 788) = ( 8 x 788 ) / 1576

GCD(8, 788) = 6304 / 1576

GCD(8, 788) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 416

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

LCM(4, 416) = 416

GCD(4, 416) = ( 4 x 416 ) / 416

GCD(4, 416) = 1664 / 416

GCD(4, 416) = 4

GCD of 816, 440, 788, 416 is 4

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1. What is the GCD of 816, 440, 788, 416?

GCD of 816, 440, 788, 416 is 4

2. Where do I get the detailed procedure to find GCD of 816, 440, 788, 416?

You can find a detailed procedure to find GCD of 816, 440, 788, 416 on our page.

3. How to find GCD of 816, 440, 788, 416 on a calculator?

You can find the GCD of 816, 440, 788, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.