GCD of 434, 303, 328, 678 Calculator

Given Input numbers are 434, 303, 328, 678

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 434, 303, 328, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 303, 328, 678 is 1.

Therefore, GCD of numbers 434, 303, 328, 678 is 1

Given Input Data is 434, 303, 328, 678

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 303 is 3 x 101

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

Prime Factorization of 678 is 2 x 3 x 113

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(434, 303) = 131502

GCD(434, 303) = ( 434 x 303 ) / 131502

GCD(434, 303) = 131502 / 131502

GCD(434, 303) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 434, 303, 328, 678 is 1

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1. What is the GCD of 434, 303, 328, 678?

GCD of 434, 303, 328, 678 is 1

2. Where do I get the detailed procedure to find GCD of 434, 303, 328, 678?

You can find a detailed procedure to find GCD of 434, 303, 328, 678 on our page.

3. How to find GCD of 434, 303, 328, 678 on a calculator?

You can find the GCD of 434, 303, 328, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.