GCD of 21, 201, 802, 216 Calculator

Given Input numbers are 21, 201, 802, 216

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 201

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

1, 3, 67, 201

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 21, 201, 802, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 201, 802, 216 is 1.

Therefore, GCD of numbers 21, 201, 802, 216 is 1

Given Input Data is 21, 201, 802, 216

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 201 is 3 x 67

Prime Factorization of 802 is 2 x 401

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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, 201) = 1407

GCD(21, 201) = ( 21 x 201 ) / 1407

GCD(21, 201) = 4221 / 1407

GCD(21, 201) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 802

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

LCM(3, 802) = 2406

GCD(3, 802) = ( 3 x 802 ) / 2406

GCD(3, 802) = 2406 / 2406

GCD(3, 802) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 21, 201, 802, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 432, 165, 102
• GCD of 91, 771, 544, 845
• GCD of 25, 504, 642, 788
• GCD of 96, 150, 668, 550
• GCD of 20, 697, 738, 443

1. What is the GCD of 21, 201, 802, 216?

GCD of 21, 201, 802, 216 is 1

2. Where do I get the detailed procedure to find GCD of 21, 201, 802, 216?

You can find a detailed procedure to find GCD of 21, 201, 802, 216 on our page.

3. How to find GCD of 21, 201, 802, 216 on a calculator?

You can find the GCD of 21, 201, 802, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.