GCD of 33, 721, 209, 282 Calculator

Given Input numbers are 33, 721, 209, 282

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

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 33, 721, 209, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 721, 209, 282 is 1.

Therefore, GCD of numbers 33, 721, 209, 282 is 1

Given Input Data is 33, 721, 209, 282

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 721 is 7 x 103

Prime Factorization of 209 is 11 x 19

Prime Factorization of 282 is 2 x 3 x 47

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(33, 721) = 23793

GCD(33, 721) = ( 33 x 721 ) / 23793

GCD(33, 721) = 23793 / 23793

GCD(33, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 33, 721, 209, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 866, 645, 400
• GCD of 23, 409, 193, 669
• GCD of 83, 773, 183, 931
• GCD of 94, 256, 171, 568
• GCD of 44, 592, 330, 908

1. What is the GCD of 33, 721, 209, 282?

GCD of 33, 721, 209, 282 is 1

2. Where do I get the detailed procedure to find GCD of 33, 721, 209, 282?

You can find a detailed procedure to find GCD of 33, 721, 209, 282 on our page.

3. How to find GCD of 33, 721, 209, 282 on a calculator?

You can find the GCD of 33, 721, 209, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.