GCD of 648, 555, 23, 188 Calculator

Given Input numbers are 648, 555, 23, 188

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 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 648, 555, 23, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 555, 23, 188 is 1.

Therefore, GCD of numbers 648, 555, 23, 188 is 1

Given Input Data is 648, 555, 23, 188

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 555 is 3 x 5 x 37

Prime Factorization of 23 is 23

Prime Factorization of 188 is 2 x 2 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(648, 555) = 119880

GCD(648, 555) = ( 648 x 555 ) / 119880

GCD(648, 555) = 359640 / 119880

GCD(648, 555) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 648, 555, 23, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 527, 37, 334
• GCD of 628, 781, 42, 810
• GCD of 649, 902, 22, 389
• GCD of 698, 726, 87, 940
• GCD of 213, 378, 20, 210

1. What is the GCD of 648, 555, 23, 188?

GCD of 648, 555, 23, 188 is 1

2. Where do I get the detailed procedure to find GCD of 648, 555, 23, 188?

You can find a detailed procedure to find GCD of 648, 555, 23, 188 on our page.

3. How to find GCD of 648, 555, 23, 188 on a calculator?

You can find the GCD of 648, 555, 23, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.