GCD of 628, 584, 259, 669 Calculator

Given Input numbers are 628, 584, 259, 669

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

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 628, 584, 259, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 584, 259, 669 is 1.

Therefore, GCD of numbers 628, 584, 259, 669 is 1

Given Input Data is 628, 584, 259, 669

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 259 is 7 x 37

Prime Factorization of 669 is 3 x 223

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(628, 584) = 91688

GCD(628, 584) = ( 628 x 584 ) / 91688

GCD(628, 584) = 366752 / 91688

GCD(628, 584) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 259

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

LCM(4, 259) = 1036

GCD(4, 259) = ( 4 x 259 ) / 1036

GCD(4, 259) = 1036 / 1036

GCD(4, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 628, 584, 259, 669 is 1

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1. What is the GCD of 628, 584, 259, 669?

GCD of 628, 584, 259, 669 is 1

2. Where do I get the detailed procedure to find GCD of 628, 584, 259, 669?

You can find a detailed procedure to find GCD of 628, 584, 259, 669 on our page.

3. How to find GCD of 628, 584, 259, 669 on a calculator?

You can find the GCD of 628, 584, 259, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.