GCD of 211, 324, 45, 654 Calculator

Given Input numbers are 211, 324, 45, 654

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

Divisors of 211

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

1, 211

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 654

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

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

Greatest Common Divisior

We found the divisors of 211, 324, 45, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 324, 45, 654 is 1.

Therefore, GCD of numbers 211, 324, 45, 654 is 1

Given Input Data is 211, 324, 45, 654

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

Prime Factorization of 211 is 211

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 654 is 2 x 3 x 109

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(211, 324) = 68364

GCD(211, 324) = ( 211 x 324 ) / 68364

GCD(211, 324) = 68364 / 68364

GCD(211, 324) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 211, 324, 45, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 844, 45, 732
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• GCD of 733, 496, 96, 392

1. What is the GCD of 211, 324, 45, 654?

GCD of 211, 324, 45, 654 is 1

2. Where do I get the detailed procedure to find GCD of 211, 324, 45, 654?

You can find a detailed procedure to find GCD of 211, 324, 45, 654 on our page.

3. How to find GCD of 211, 324, 45, 654 on a calculator?

You can find the GCD of 211, 324, 45, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.