GCD of 398, 416, 71, 313 Calculator

Given Input numbers are 398, 416, 71, 313

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 398, 416, 71, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 416, 71, 313 is 1.

Therefore, GCD of numbers 398, 416, 71, 313 is 1

Given Input Data is 398, 416, 71, 313

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 71 is 71

Prime Factorization of 313 is 313

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, 416) = 82784

GCD(398, 416) = ( 398 x 416 ) / 82784

GCD(398, 416) = 165568 / 82784

GCD(398, 416) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 398, 416, 71, 313 is 1

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• GCD of 297, 614, 30, 967
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• GCD of 290, 204, 15, 818
• GCD of 524, 835, 12, 219

1. What is the GCD of 398, 416, 71, 313?

GCD of 398, 416, 71, 313 is 1

2. Where do I get the detailed procedure to find GCD of 398, 416, 71, 313?

You can find a detailed procedure to find GCD of 398, 416, 71, 313 on our page.

3. How to find GCD of 398, 416, 71, 313 on a calculator?

You can find the GCD of 398, 416, 71, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.