GCD of 996, 225, 543, 216 Calculator

Given Input numbers are 996, 225, 543, 216

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

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

Greatest Common Divisior

We found the divisors of 996, 225, 543, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 225, 543, 216 is 3.

Therefore, GCD of numbers 996, 225, 543, 216 is 3

Given Input Data is 996, 225, 543, 216

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 543 is 3 x 181

Prime Factorization of 216 is 2 x 2 x 2 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(996, 225) = 74700

GCD(996, 225) = ( 996 x 225 ) / 74700

GCD(996, 225) = 224100 / 74700

GCD(996, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 543

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

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

GCD(3, 543) = 1629 / 543

GCD(3, 543) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 216

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

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

GCD(3, 216) = 648 / 216

GCD(3, 216) = 3

GCD of 996, 225, 543, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 954, 139, 644
• GCD of 283, 899, 264, 717
• GCD of 703, 776, 754, 446
• GCD of 772, 421, 691, 450
• GCD of 993, 113, 397, 387

1. What is the GCD of 996, 225, 543, 216?

GCD of 996, 225, 543, 216 is 3

2. Where do I get the detailed procedure to find GCD of 996, 225, 543, 216?

You can find a detailed procedure to find GCD of 996, 225, 543, 216 on our page.

3. How to find GCD of 996, 225, 543, 216 on a calculator?

You can find the GCD of 996, 225, 543, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.