GCD of 180, 512, 989, 222 Calculator

Given Input numbers are 180, 512, 989, 222

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 180, 512, 989, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 512, 989, 222 is 1.

Therefore, GCD of numbers 180, 512, 989, 222 is 1

Given Input Data is 180, 512, 989, 222

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 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 989 is 23 x 43

Prime Factorization of 222 is 2 x 3 x 37

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(180, 512) = 23040

GCD(180, 512) = ( 180 x 512 ) / 23040

GCD(180, 512) = 92160 / 23040

GCD(180, 512) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 989

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

LCM(4, 989) = 3956

GCD(4, 989) = ( 4 x 989 ) / 3956

GCD(4, 989) = 3956 / 3956

GCD(4, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 180, 512, 989, 222 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 900, 204, 140
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• GCD of 484, 623, 637, 870

1. What is the GCD of 180, 512, 989, 222?

GCD of 180, 512, 989, 222 is 1

2. Where do I get the detailed procedure to find GCD of 180, 512, 989, 222?

You can find a detailed procedure to find GCD of 180, 512, 989, 222 on our page.

3. How to find GCD of 180, 512, 989, 222 on a calculator?

You can find the GCD of 180, 512, 989, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.