GCD of 998, 165, 19, 396 Calculator

Given Input numbers are 998, 165, 19, 396

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 998, 165, 19, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 165, 19, 396 is 1.

Therefore, GCD of numbers 998, 165, 19, 396 is 1

Given Input Data is 998, 165, 19, 396

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 19 is 19

Prime Factorization of 396 is 2 x 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(998, 165) = 164670

GCD(998, 165) = ( 998 x 165 ) / 164670

GCD(998, 165) = 164670 / 164670

GCD(998, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 998, 165, 19, 396 is 1

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• GCD of 766, 586, 89, 690
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1. What is the GCD of 998, 165, 19, 396?

GCD of 998, 165, 19, 396 is 1

2. Where do I get the detailed procedure to find GCD of 998, 165, 19, 396?

You can find a detailed procedure to find GCD of 998, 165, 19, 396 on our page.

3. How to find GCD of 998, 165, 19, 396 on a calculator?

You can find the GCD of 998, 165, 19, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.