GCD of 628, 328, 679, 344 Calculator

Given Input numbers are 628, 328, 679, 344

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 628, 328, 679, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 328, 679, 344 is 1.

Therefore, GCD of numbers 628, 328, 679, 344 is 1

Given Input Data is 628, 328, 679, 344

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 328 is 2 x 2 x 2 x 41

Prime Factorization of 679 is 7 x 97

Prime Factorization of 344 is 2 x 2 x 2 x 43

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, 328) = 51496

GCD(628, 328) = ( 628 x 328 ) / 51496

GCD(628, 328) = 205984 / 51496

GCD(628, 328) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 679

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

LCM(4, 679) = 2716

GCD(4, 679) = ( 4 x 679 ) / 2716

GCD(4, 679) = 2716 / 2716

GCD(4, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 628, 328, 679, 344 is 1

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1. What is the GCD of 628, 328, 679, 344?

GCD of 628, 328, 679, 344 is 1

2. Where do I get the detailed procedure to find GCD of 628, 328, 679, 344?

You can find a detailed procedure to find GCD of 628, 328, 679, 344 on our page.

3. How to find GCD of 628, 328, 679, 344 on a calculator?

You can find the GCD of 628, 328, 679, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.