GCD of 201, 132, 894, 282 Calculator

Given Input numbers are 201, 132, 894, 282

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

Divisors of 201

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

1, 3, 67, 201

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 894

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

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 201, 132, 894, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 132, 894, 282 is 3.

Therefore, GCD of numbers 201, 132, 894, 282 is 3

Given Input Data is 201, 132, 894, 282

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 282 is 2 x 3 x 47

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(201, 132) = 8844

GCD(201, 132) = ( 201 x 132 ) / 8844

GCD(201, 132) = 26532 / 8844

GCD(201, 132) = 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

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 282

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

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

GCD(3, 282) = 846 / 282

GCD(3, 282) = 3

GCD of 201, 132, 894, 282 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 866, 455, 838
• GCD of 310, 543, 192, 241
• GCD of 614, 454, 550, 404
• GCD of 479, 341, 622, 477
• GCD of 996, 825, 326, 438

1. What is the GCD of 201, 132, 894, 282?

GCD of 201, 132, 894, 282 is 3

2. Where do I get the detailed procedure to find GCD of 201, 132, 894, 282?

You can find a detailed procedure to find GCD of 201, 132, 894, 282 on our page.

3. How to find GCD of 201, 132, 894, 282 on a calculator?

You can find the GCD of 201, 132, 894, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.