GCD of 398, 449, 70, 681 Calculator

Given Input numbers are 398, 449, 70, 681

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 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 398, 449, 70, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 449, 70, 681 is 1.

Therefore, GCD of numbers 398, 449, 70, 681 is 1

Given Input Data is 398, 449, 70, 681

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 449 is 449

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 681 is 3 x 227

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, 449) = 178702

GCD(398, 449) = ( 398 x 449 ) / 178702

GCD(398, 449) = 178702 / 178702

GCD(398, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

GCD of 398, 449, 70, 681 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 344, 10, 236
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• GCD of 523, 930, 80, 327

1. What is the GCD of 398, 449, 70, 681?

GCD of 398, 449, 70, 681 is 1

2. Where do I get the detailed procedure to find GCD of 398, 449, 70, 681?

You can find a detailed procedure to find GCD of 398, 449, 70, 681 on our page.

3. How to find GCD of 398, 449, 70, 681 on a calculator?

You can find the GCD of 398, 449, 70, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.