GCD of 321, 678, 28, 303 Calculator

Given Input numbers are 321, 678, 28, 303

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 678

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

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 303

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

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 321, 678, 28, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 678, 28, 303 is 1.

Therefore, GCD of numbers 321, 678, 28, 303 is 1

Given Input Data is 321, 678, 28, 303

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 303 is 3 x 101

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(321, 678) = 72546

GCD(321, 678) = ( 321 x 678 ) / 72546

GCD(321, 678) = 217638 / 72546

GCD(321, 678) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 321, 678, 28, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 370, 82, 501
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• GCD of 297, 409, 35, 649
• GCD of 737, 716, 35, 565
• GCD of 587, 673, 32, 115

1. What is the GCD of 321, 678, 28, 303?

GCD of 321, 678, 28, 303 is 1

2. Where do I get the detailed procedure to find GCD of 321, 678, 28, 303?

You can find a detailed procedure to find GCD of 321, 678, 28, 303 on our page.

3. How to find GCD of 321, 678, 28, 303 on a calculator?

You can find the GCD of 321, 678, 28, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.