GCD of 46, 422, 679, 328 Calculator

Given Input numbers are 46, 422, 679, 328

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 679

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

1, 7, 97, 679

Divisors of 328

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

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

Greatest Common Divisior

We found the divisors of 46, 422, 679, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 422, 679, 328 is 1.

Therefore, GCD of numbers 46, 422, 679, 328 is 1

Given Input Data is 46, 422, 679, 328

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 422 is 2 x 211

Prime Factorization of 679 is 7 x 97

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(46, 422) = 9706

GCD(46, 422) = ( 46 x 422 ) / 9706

GCD(46, 422) = 19412 / 9706

GCD(46, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 679

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

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

GCD(2, 679) = 1358 / 1358

GCD(2, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 46, 422, 679, 328 is 1

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1. What is the GCD of 46, 422, 679, 328?

GCD of 46, 422, 679, 328 is 1

2. Where do I get the detailed procedure to find GCD of 46, 422, 679, 328?

You can find a detailed procedure to find GCD of 46, 422, 679, 328 on our page.

3. How to find GCD of 46, 422, 679, 328 on a calculator?

You can find the GCD of 46, 422, 679, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.