GCD of 144, 816, 16, 654 Calculator

Given Input numbers are 144, 816, 16, 654

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 144, 816, 16, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 816, 16, 654 is 2.

Therefore, GCD of numbers 144, 816, 16, 654 is 2

Given Input Data is 144, 816, 16, 654

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 654 is 2 x 3 x 109

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(144, 816) = 2448

GCD(144, 816) = ( 144 x 816 ) / 2448

GCD(144, 816) = 117504 / 2448

GCD(144, 816) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 16

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

LCM(48, 16) = 48

GCD(48, 16) = ( 48 x 16 ) / 48

GCD(48, 16) = 768 / 48

GCD(48, 16) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 654

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

LCM(16, 654) = 5232

GCD(16, 654) = ( 16 x 654 ) / 5232

GCD(16, 654) = 10464 / 5232

GCD(16, 654) = 2

GCD of 144, 816, 16, 654 is 2

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1. What is the GCD of 144, 816, 16, 654?

GCD of 144, 816, 16, 654 is 2

2. Where do I get the detailed procedure to find GCD of 144, 816, 16, 654?

You can find a detailed procedure to find GCD of 144, 816, 16, 654 on our page.

3. How to find GCD of 144, 816, 16, 654 on a calculator?

You can find the GCD of 144, 816, 16, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.