GCD of 398, 594, 803, 676 Calculator

Given Input numbers are 398, 594, 803, 676

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 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 398, 594, 803, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 594, 803, 676 is 1.

Therefore, GCD of numbers 398, 594, 803, 676 is 1

Given Input Data is 398, 594, 803, 676

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 803 is 11 x 73

Prime Factorization of 676 is 2 x 2 x 13 x 13

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, 594) = 118206

GCD(398, 594) = ( 398 x 594 ) / 118206

GCD(398, 594) = 236412 / 118206

GCD(398, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 803

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

LCM(2, 803) = 1606

GCD(2, 803) = ( 2 x 803 ) / 1606

GCD(2, 803) = 1606 / 1606

GCD(2, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 398, 594, 803, 676 is 1

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1. What is the GCD of 398, 594, 803, 676?

GCD of 398, 594, 803, 676 is 1

2. Where do I get the detailed procedure to find GCD of 398, 594, 803, 676?

You can find a detailed procedure to find GCD of 398, 594, 803, 676 on our page.

3. How to find GCD of 398, 594, 803, 676 on a calculator?

You can find the GCD of 398, 594, 803, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.