GCD of 651, 594, 663, 243 Calculator

Given Input numbers are 651, 594, 663, 243

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

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 663

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

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 651, 594, 663, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 594, 663, 243 is 3.

Therefore, GCD of numbers 651, 594, 663, 243 is 3

Given Input Data is 651, 594, 663, 243

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

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(651, 594) = 128898

GCD(651, 594) = ( 651 x 594 ) / 128898

GCD(651, 594) = 386694 / 128898

GCD(651, 594) = 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

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 243

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

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

GCD(3, 243) = 729 / 243

GCD(3, 243) = 3

GCD of 651, 594, 663, 243 is 3

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1. What is the GCD of 651, 594, 663, 243?

GCD of 651, 594, 663, 243 is 3

2. Where do I get the detailed procedure to find GCD of 651, 594, 663, 243?

You can find a detailed procedure to find GCD of 651, 594, 663, 243 on our page.

3. How to find GCD of 651, 594, 663, 243 on a calculator?

You can find the GCD of 651, 594, 663, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.