GCD of 321, 201, 894 Calculator

Given Input numbers are 321, 201, 894

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 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

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 321, 201, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 201, 894 is 3.

Therefore, GCD of numbers 321, 201, 894 is 3

Given Input Data is 321, 201, 894

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 201 is 3 x 67

Prime Factorization of 894 is 2 x 3 x 149

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 201) = 21507

GCD(321, 201) = ( 321 x 201 ) / 21507

GCD(321, 201) = 64521 / 21507

GCD(321, 201) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 894

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

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

GCD(3, 894) = 2682 / 894

GCD(3, 894) = 3

GCD of 321, 201, 894 is 3

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1. What is the GCD of 321, 201, 894?

GCD of 321, 201, 894 is 3

2. Where do I get the detailed procedure to find GCD of 321, 201, 894?

You can find a detailed procedure to find GCD of 321, 201, 894 on our page.

3. How to find GCD of 321, 201, 894 on a calculator?

You can find the GCD of 321, 201, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.