GCD of 816, 657, 483 Calculator

Given Input numbers are 816, 657, 483

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Greatest Common Divisior

We found the divisors of 816, 657, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 657, 483 is 3.

Therefore, GCD of numbers 816, 657, 483 is 3

Given Input Data is 816, 657, 483

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 657 is 3 x 3 x 73

Prime Factorization of 483 is 3 x 7 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 657) = 178704

GCD(816, 657) = ( 816 x 657 ) / 178704

GCD(816, 657) = 536112 / 178704

GCD(816, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 483

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

LCM(3, 483) = 483

GCD(3, 483) = ( 3 x 483 ) / 483

GCD(3, 483) = 1449 / 483

GCD(3, 483) = 3

GCD of 816, 657, 483 is 3

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1. What is the GCD of 816, 657, 483?

GCD of 816, 657, 483 is 3

2. Where do I get the detailed procedure to find GCD of 816, 657, 483?

You can find a detailed procedure to find GCD of 816, 657, 483 on our page.

3. How to find GCD of 816, 657, 483 on a calculator?

You can find the GCD of 816, 657, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.