GCD of 198, 312, 544, 888 Calculator

Given Input numbers are 198, 312, 544, 888

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

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 198, 312, 544, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 312, 544, 888 is 2.

Therefore, GCD of numbers 198, 312, 544, 888 is 2

Given Input Data is 198, 312, 544, 888

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

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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(198, 312) = 10296

GCD(198, 312) = ( 198 x 312 ) / 10296

GCD(198, 312) = 61776 / 10296

GCD(198, 312) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 544

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

LCM(6, 544) = 1632

GCD(6, 544) = ( 6 x 544 ) / 1632

GCD(6, 544) = 3264 / 1632

GCD(6, 544) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 888

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

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

GCD(2, 888) = 1776 / 888

GCD(2, 888) = 2

GCD of 198, 312, 544, 888 is 2

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1. What is the GCD of 198, 312, 544, 888?

GCD of 198, 312, 544, 888 is 2

2. Where do I get the detailed procedure to find GCD of 198, 312, 544, 888?

You can find a detailed procedure to find GCD of 198, 312, 544, 888 on our page.

3. How to find GCD of 198, 312, 544, 888 on a calculator?

You can find the GCD of 198, 312, 544, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.