GCD of 351, 205, 998 Calculator

Given Input numbers are 351, 205, 998

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 351, 205, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 205, 998 is 1.

Therefore, GCD of numbers 351, 205, 998 is 1

Given Input Data is 351, 205, 998

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 205 is 5 x 41

Prime Factorization of 998 is 2 x 499

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(351, 205) = 71955

GCD(351, 205) = ( 351 x 205 ) / 71955

GCD(351, 205) = 71955 / 71955

GCD(351, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 351, 205, 998 is 1

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1. What is the GCD of 351, 205, 998?

GCD of 351, 205, 998 is 1

2. Where do I get the detailed procedure to find GCD of 351, 205, 998?

You can find a detailed procedure to find GCD of 351, 205, 998 on our page.

3. How to find GCD of 351, 205, 998 on a calculator?

You can find the GCD of 351, 205, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.