GCD of 204, 814, 18, 972 Calculator

Given Input numbers are 204, 814, 18, 972

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 204, 814, 18, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 814, 18, 972 is 2.

Therefore, GCD of numbers 204, 814, 18, 972 is 2

Given Input Data is 204, 814, 18, 972

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(204, 814) = 83028

GCD(204, 814) = ( 204 x 814 ) / 83028

GCD(204, 814) = 166056 / 83028

GCD(204, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

GCD of 204, 814, 18, 972 is 2

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1. What is the GCD of 204, 814, 18, 972?

GCD of 204, 814, 18, 972 is 2

2. Where do I get the detailed procedure to find GCD of 204, 814, 18, 972?

You can find a detailed procedure to find GCD of 204, 814, 18, 972 on our page.

3. How to find GCD of 204, 814, 18, 972 on a calculator?

You can find the GCD of 204, 814, 18, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.