GCD of 144, 976, 16, 729 Calculator

Given Input numbers are 144, 976, 16, 729

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 144, 976, 16, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 976, 16, 729 is 1.

Therefore, GCD of numbers 144, 976, 16, 729 is 1

Given Input Data is 144, 976, 16, 729

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 976 is 2 x 2 x 2 x 2 x 61

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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, 976) = 8784

GCD(144, 976) = ( 144 x 976 ) / 8784

GCD(144, 976) = 140544 / 8784

GCD(144, 976) = 16

Step2:

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

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

LCM(16, 16) = 16

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

GCD(16, 16) = 256 / 16

GCD(16, 16) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 729

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

LCM(16, 729) = 11664

GCD(16, 729) = ( 16 x 729 ) / 11664

GCD(16, 729) = 11664 / 11664

GCD(16, 729) = 1

GCD of 144, 976, 16, 729 is 1

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1. What is the GCD of 144, 976, 16, 729?

GCD of 144, 976, 16, 729 is 1

2. Where do I get the detailed procedure to find GCD of 144, 976, 16, 729?

You can find a detailed procedure to find GCD of 144, 976, 16, 729 on our page.

3. How to find GCD of 144, 976, 16, 729 on a calculator?

You can find the GCD of 144, 976, 16, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.