GCD of 654, 318, 33, 211 Calculator

Given Input numbers are 654, 318, 33, 211

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 33

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

1, 3, 11, 33

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 654, 318, 33, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 318, 33, 211 is 1.

Therefore, GCD of numbers 654, 318, 33, 211 is 1

Given Input Data is 654, 318, 33, 211

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 33 is 3 x 11

Prime Factorization of 211 is 211

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(654, 318) = 34662

GCD(654, 318) = ( 654 x 318 ) / 34662

GCD(654, 318) = 207972 / 34662

GCD(654, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 33

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

LCM(6, 33) = 66

GCD(6, 33) = ( 6 x 33 ) / 66

GCD(6, 33) = 198 / 66

GCD(6, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 211

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

LCM(3, 211) = 633

GCD(3, 211) = ( 3 x 211 ) / 633

GCD(3, 211) = 633 / 633

GCD(3, 211) = 1

GCD of 654, 318, 33, 211 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 549, 22, 148
• GCD of 878, 501, 55, 648
• GCD of 808, 842, 53, 652
• GCD of 394, 940, 76, 591
• GCD of 160, 333, 32, 666

1. What is the GCD of 654, 318, 33, 211?

GCD of 654, 318, 33, 211 is 1

2. Where do I get the detailed procedure to find GCD of 654, 318, 33, 211?

You can find a detailed procedure to find GCD of 654, 318, 33, 211 on our page.

3. How to find GCD of 654, 318, 33, 211 on a calculator?

You can find the GCD of 654, 318, 33, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.