GCD of 321, 298, 428, 996 Calculator

Given Input numbers are 321, 298, 428, 996

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 321, 298, 428, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 298, 428, 996 is 1.

Therefore, GCD of numbers 321, 298, 428, 996 is 1

Given Input Data is 321, 298, 428, 996

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 298 is 2 x 149

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 996 is 2 x 2 x 3 x 83

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, 298) = 95658

GCD(321, 298) = ( 321 x 298 ) / 95658

GCD(321, 298) = 95658 / 95658

GCD(321, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 321, 298, 428, 996 is 1

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1. What is the GCD of 321, 298, 428, 996?

GCD of 321, 298, 428, 996 is 1

2. Where do I get the detailed procedure to find GCD of 321, 298, 428, 996?

You can find a detailed procedure to find GCD of 321, 298, 428, 996 on our page.

3. How to find GCD of 321, 298, 428, 996 on a calculator?

You can find the GCD of 321, 298, 428, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.