GCD of 198, 634, 381, 652 Calculator

Given Input numbers are 198, 634, 381, 652

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 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 198, 634, 381, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 634, 381, 652 is 1.

Therefore, GCD of numbers 198, 634, 381, 652 is 1

Given Input Data is 198, 634, 381, 652

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 634 is 2 x 317

Prime Factorization of 381 is 3 x 127

Prime Factorization of 652 is 2 x 2 x 163

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, 634) = 62766

GCD(198, 634) = ( 198 x 634 ) / 62766

GCD(198, 634) = 125532 / 62766

GCD(198, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 198, 634, 381, 652 is 1

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1. What is the GCD of 198, 634, 381, 652?

GCD of 198, 634, 381, 652 is 1

2. Where do I get the detailed procedure to find GCD of 198, 634, 381, 652?

You can find a detailed procedure to find GCD of 198, 634, 381, 652 on our page.

3. How to find GCD of 198, 634, 381, 652 on a calculator?

You can find the GCD of 198, 634, 381, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.