GCD of 628, 182, 17, 198 Calculator

Given Input numbers are 628, 182, 17, 198

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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

Greatest Common Divisior

We found the divisors of 628, 182, 17, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 182, 17, 198 is 1.

Therefore, GCD of numbers 628, 182, 17, 198 is 1

Given Input Data is 628, 182, 17, 198

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 17 is 17

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

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(628, 182) = 57148

GCD(628, 182) = ( 628 x 182 ) / 57148

GCD(628, 182) = 114296 / 57148

GCD(628, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 628, 182, 17, 198 is 1

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1. What is the GCD of 628, 182, 17, 198?

GCD of 628, 182, 17, 198 is 1

2. Where do I get the detailed procedure to find GCD of 628, 182, 17, 198?

You can find a detailed procedure to find GCD of 628, 182, 17, 198 on our page.

3. How to find GCD of 628, 182, 17, 198 on a calculator?

You can find the GCD of 628, 182, 17, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.