GCD of 648, 217, 36, 205 Calculator

Given Input numbers are 648, 217, 36, 205

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 648, 217, 36, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 217, 36, 205 is 1.

Therefore, GCD of numbers 648, 217, 36, 205 is 1

Given Input Data is 648, 217, 36, 205

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 217 is 7 x 31

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 205 is 5 x 41

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(648, 217) = 140616

GCD(648, 217) = ( 648 x 217 ) / 140616

GCD(648, 217) = 140616 / 140616

GCD(648, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 648, 217, 36, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 748, 19, 731
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1. What is the GCD of 648, 217, 36, 205?

GCD of 648, 217, 36, 205 is 1

2. Where do I get the detailed procedure to find GCD of 648, 217, 36, 205?

You can find a detailed procedure to find GCD of 648, 217, 36, 205 on our page.

3. How to find GCD of 648, 217, 36, 205 on a calculator?

You can find the GCD of 648, 217, 36, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.