GCD of 12, 198, 768, 567 Calculator

Given Input numbers are 12, 198, 768, 567

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 12, 198, 768, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 198, 768, 567 is 3.

Therefore, GCD of numbers 12, 198, 768, 567 is 3

Given Input Data is 12, 198, 768, 567

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(12, 198) = 396

GCD(12, 198) = ( 12 x 198 ) / 396

GCD(12, 198) = 2376 / 396

GCD(12, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 768

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

LCM(6, 768) = 768

GCD(6, 768) = ( 6 x 768 ) / 768

GCD(6, 768) = 4608 / 768

GCD(6, 768) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 567

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

LCM(6, 567) = 1134

GCD(6, 567) = ( 6 x 567 ) / 1134

GCD(6, 567) = 3402 / 1134

GCD(6, 567) = 3

GCD of 12, 198, 768, 567 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 915, 600, 238
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• GCD of 44, 943, 629, 378
• GCD of 37, 386, 912, 667

1. What is the GCD of 12, 198, 768, 567?

GCD of 12, 198, 768, 567 is 3

2. Where do I get the detailed procedure to find GCD of 12, 198, 768, 567?

You can find a detailed procedure to find GCD of 12, 198, 768, 567 on our page.

3. How to find GCD of 12, 198, 768, 567 on a calculator?

You can find the GCD of 12, 198, 768, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.