GCD of 321, 301, 311, 642 Calculator

Given Input numbers are 321, 301, 311, 642

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 321, 301, 311, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 301, 311, 642 is 1.

Therefore, GCD of numbers 321, 301, 311, 642 is 1

Given Input Data is 321, 301, 311, 642

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 301 is 7 x 43

Prime Factorization of 311 is 311

Prime Factorization of 642 is 2 x 3 x 107

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, 301) = 96621

GCD(321, 301) = ( 321 x 301 ) / 96621

GCD(321, 301) = 96621 / 96621

GCD(321, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 321, 301, 311, 642 is 1

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1. What is the GCD of 321, 301, 311, 642?

GCD of 321, 301, 311, 642 is 1

2. Where do I get the detailed procedure to find GCD of 321, 301, 311, 642?

You can find a detailed procedure to find GCD of 321, 301, 311, 642 on our page.

3. How to find GCD of 321, 301, 311, 642 on a calculator?

You can find the GCD of 321, 301, 311, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.