GCD of 728, 629, 252, 647 Calculator

Given Input numbers are 728, 629, 252, 647

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 647

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

1, 647

Greatest Common Divisior

We found the divisors of 728, 629, 252, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 629, 252, 647 is 1.

Therefore, GCD of numbers 728, 629, 252, 647 is 1

Given Input Data is 728, 629, 252, 647

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 629 is 17 x 37

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 647 is 647

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(728, 629) = 457912

GCD(728, 629) = ( 728 x 629 ) / 457912

GCD(728, 629) = 457912 / 457912

GCD(728, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 728, 629, 252, 647 is 1

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1. What is the GCD of 728, 629, 252, 647?

GCD of 728, 629, 252, 647 is 1

2. Where do I get the detailed procedure to find GCD of 728, 629, 252, 647?

You can find a detailed procedure to find GCD of 728, 629, 252, 647 on our page.

3. How to find GCD of 728, 629, 252, 647 on a calculator?

You can find the GCD of 728, 629, 252, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.