GCD of 728, 961, 622, 510 Calculator

Given Input numbers are 728, 961, 622, 510

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 728, 961, 622, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 961, 622, 510 is 1.

Therefore, GCD of numbers 728, 961, 622, 510 is 1

Given Input Data is 728, 961, 622, 510

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 961 is 31 x 31

Prime Factorization of 622 is 2 x 311

Prime Factorization of 510 is 2 x 3 x 5 x 17

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, 961) = 699608

GCD(728, 961) = ( 728 x 961 ) / 699608

GCD(728, 961) = 699608 / 699608

GCD(728, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 728, 961, 622, 510 is 1

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1. What is the GCD of 728, 961, 622, 510?

GCD of 728, 961, 622, 510 is 1

2. Where do I get the detailed procedure to find GCD of 728, 961, 622, 510?

You can find a detailed procedure to find GCD of 728, 961, 622, 510 on our page.

3. How to find GCD of 728, 961, 622, 510 on a calculator?

You can find the GCD of 728, 961, 622, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.