GCD of 993, 282, 282, 648 Calculator

Given Input numbers are 993, 282, 282, 648

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

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 282

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

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 993, 282, 282, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 282, 282, 648 is 3.

Therefore, GCD of numbers 993, 282, 282, 648 is 3

Given Input Data is 993, 282, 282, 648

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 648 is 2 x 2 x 2 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(993, 282) = 93342

GCD(993, 282) = ( 993 x 282 ) / 93342

GCD(993, 282) = 280026 / 93342

GCD(993, 282) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 282

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

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

GCD(3, 282) = 846 / 282

GCD(3, 282) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 648

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

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

GCD(3, 648) = 1944 / 648

GCD(3, 648) = 3

GCD of 993, 282, 282, 648 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 521, 601, 468
• GCD of 762, 104, 907, 996
• GCD of 924, 378, 531, 332
• GCD of 688, 660, 893, 837
• GCD of 970, 572, 840, 610

1. What is the GCD of 993, 282, 282, 648?

GCD of 993, 282, 282, 648 is 3

2. Where do I get the detailed procedure to find GCD of 993, 282, 282, 648?

You can find a detailed procedure to find GCD of 993, 282, 282, 648 on our page.

3. How to find GCD of 993, 282, 282, 648 on a calculator?

You can find the GCD of 993, 282, 282, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.