GCD of 198, 473, 944, 888 Calculator

Given Input numbers are 198, 473, 944, 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 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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, 473, 944, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 473, 944, 888 is 1.

Therefore, GCD of numbers 198, 473, 944, 888 is 1

Given Input Data is 198, 473, 944, 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 473 is 11 x 43

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 888 is 2 x 2 x 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(198, 473) = 8514

GCD(198, 473) = ( 198 x 473 ) / 8514

GCD(198, 473) = 93654 / 8514

GCD(198, 473) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 944

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

LCM(11, 944) = 10384

GCD(11, 944) = ( 11 x 944 ) / 10384

GCD(11, 944) = 10384 / 10384

GCD(11, 944) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 888

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

LCM(1, 888) = 888

GCD(1, 888) = ( 1 x 888 ) / 888

GCD(1, 888) = 888 / 888

GCD(1, 888) = 1

GCD of 198, 473, 944, 888 is 1

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1. What is the GCD of 198, 473, 944, 888?

GCD of 198, 473, 944, 888 is 1

2. Where do I get the detailed procedure to find GCD of 198, 473, 944, 888?

You can find a detailed procedure to find GCD of 198, 473, 944, 888 on our page.

3. How to find GCD of 198, 473, 944, 888 on a calculator?

You can find the GCD of 198, 473, 944, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.