GCD of 282, 728, 628, 625 Calculator

Given Input numbers are 282, 728, 628, 625

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 282, 728, 628, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 728, 628, 625 is 1.

Therefore, GCD of numbers 282, 728, 628, 625 is 1

Given Input Data is 282, 728, 628, 625

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

Prime Factorization of 282 is 2 x 3 x 47

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 625 is 5 x 5 x 5 x 5

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(282, 728) = 102648

GCD(282, 728) = ( 282 x 728 ) / 102648

GCD(282, 728) = 205296 / 102648

GCD(282, 728) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 625

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

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

GCD(2, 625) = 1250 / 1250

GCD(2, 625) = 1

GCD of 282, 728, 628, 625 is 1

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1. What is the GCD of 282, 728, 628, 625?

GCD of 282, 728, 628, 625 is 1

2. Where do I get the detailed procedure to find GCD of 282, 728, 628, 625?

You can find a detailed procedure to find GCD of 282, 728, 628, 625 on our page.

3. How to find GCD of 282, 728, 628, 625 on a calculator?

You can find the GCD of 282, 728, 628, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.