GCD of 282, 723, 663 Calculator

Given Input numbers are 282, 723, 663

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 282, 723, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 723, 663 is 3.

Therefore, GCD of numbers 282, 723, 663 is 3

Given Input Data is 282, 723, 663

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 723 is 3 x 241

Prime Factorization of 663 is 3 x 13 x 17

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(282, 723) = 67962

GCD(282, 723) = ( 282 x 723 ) / 67962

GCD(282, 723) = 203886 / 67962

GCD(282, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 663

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

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

GCD(3, 663) = 1989 / 663

GCD(3, 663) = 3

GCD of 282, 723, 663 is 3

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1. What is the GCD of 282, 723, 663?

GCD of 282, 723, 663 is 3

2. Where do I get the detailed procedure to find GCD of 282, 723, 663?

You can find a detailed procedure to find GCD of 282, 723, 663 on our page.

3. How to find GCD of 282, 723, 663 on a calculator?

You can find the GCD of 282, 723, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.