GCD of 180, 644, 20, 818 Calculator

Given Input numbers are 180, 644, 20, 818

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 180, 644, 20, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 644, 20, 818 is 2.

Therefore, GCD of numbers 180, 644, 20, 818 is 2

Given Input Data is 180, 644, 20, 818

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 818 is 2 x 409

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(180, 644) = 28980

GCD(180, 644) = ( 180 x 644 ) / 28980

GCD(180, 644) = 115920 / 28980

GCD(180, 644) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 818

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

LCM(4, 818) = 1636

GCD(4, 818) = ( 4 x 818 ) / 1636

GCD(4, 818) = 3272 / 1636

GCD(4, 818) = 2

GCD of 180, 644, 20, 818 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 854, 59, 868
• GCD of 322, 388, 22, 391
• GCD of 651, 155, 26, 964
• GCD of 445, 984, 68, 361
• GCD of 982, 226, 96, 177

1. What is the GCD of 180, 644, 20, 818?

GCD of 180, 644, 20, 818 is 2

2. Where do I get the detailed procedure to find GCD of 180, 644, 20, 818?

You can find a detailed procedure to find GCD of 180, 644, 20, 818 on our page.

3. How to find GCD of 180, 644, 20, 818 on a calculator?

You can find the GCD of 180, 644, 20, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.