GCD of 647, 676, 24, 729 Calculator

Given Input numbers are 647, 676, 24, 729

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

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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 647, 676, 24, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 647, 676, 24, 729 is 1.

Therefore, GCD of numbers 647, 676, 24, 729 is 1

Given Input Data is 647, 676, 24, 729

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

Prime Factorization of 647 is 647

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 24 is 2 x 2 x 2 x 3

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(647, 676) = 437372

GCD(647, 676) = ( 647 x 676 ) / 437372

GCD(647, 676) = 437372 / 437372

GCD(647, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 647, 676, 24, 729 is 1

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1. What is the GCD of 647, 676, 24, 729?

GCD of 647, 676, 24, 729 is 1

2. Where do I get the detailed procedure to find GCD of 647, 676, 24, 729?

You can find a detailed procedure to find GCD of 647, 676, 24, 729 on our page.

3. How to find GCD of 647, 676, 24, 729 on a calculator?

You can find the GCD of 647, 676, 24, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.