GCD of 983, 198, 458 Calculator

Given Input numbers are 983, 198, 458

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 983, 198, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 198, 458 is 1.

Therefore, GCD of numbers 983, 198, 458 is 1

Given Input Data is 983, 198, 458

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

Prime Factorization of 983 is 983

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

Prime Factorization of 458 is 2 x 229

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(983, 198) = 194634

GCD(983, 198) = ( 983 x 198 ) / 194634

GCD(983, 198) = 194634 / 194634

GCD(983, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 983, 198, 458 is 1

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1. What is the GCD of 983, 198, 458?

GCD of 983, 198, 458 is 1

2. Where do I get the detailed procedure to find GCD of 983, 198, 458?

You can find a detailed procedure to find GCD of 983, 198, 458 on our page.

3. How to find GCD of 983, 198, 458 on a calculator?

You can find the GCD of 983, 198, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.