GCD of 21, 238, 321, 894 Calculator

Given Input numbers are 21, 238, 321, 894

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 321

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

1, 3, 107, 321

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 21, 238, 321, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 238, 321, 894 is 1.

Therefore, GCD of numbers 21, 238, 321, 894 is 1

Given Input Data is 21, 238, 321, 894

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 321 is 3 x 107

Prime Factorization of 894 is 2 x 3 x 149

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(21, 238) = 714

GCD(21, 238) = ( 21 x 238 ) / 714

GCD(21, 238) = 4998 / 714

GCD(21, 238) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 321

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

LCM(7, 321) = 2247

GCD(7, 321) = ( 7 x 321 ) / 2247

GCD(7, 321) = 2247 / 2247

GCD(7, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 21, 238, 321, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 831, 337, 739
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1. What is the GCD of 21, 238, 321, 894?

GCD of 21, 238, 321, 894 is 1

2. Where do I get the detailed procedure to find GCD of 21, 238, 321, 894?

You can find a detailed procedure to find GCD of 21, 238, 321, 894 on our page.

3. How to find GCD of 21, 238, 321, 894 on a calculator?

You can find the GCD of 21, 238, 321, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.