GCD of 398, 983, 81, 712 Calculator

Given Input numbers are 398, 983, 81, 712

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 983

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

1, 983

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 398, 983, 81, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 983, 81, 712 is 1.

Therefore, GCD of numbers 398, 983, 81, 712 is 1

Given Input Data is 398, 983, 81, 712

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 983 is 983

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(398, 983) = 391234

GCD(398, 983) = ( 398 x 983 ) / 391234

GCD(398, 983) = 391234 / 391234

GCD(398, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 398, 983, 81, 712 is 1

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1. What is the GCD of 398, 983, 81, 712?

GCD of 398, 983, 81, 712 is 1

2. Where do I get the detailed procedure to find GCD of 398, 983, 81, 712?

You can find a detailed procedure to find GCD of 398, 983, 81, 712 on our page.

3. How to find GCD of 398, 983, 81, 712 on a calculator?

You can find the GCD of 398, 983, 81, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.