GCD of 316, 172, 11, 398 Calculator

Given Input numbers are 316, 172, 11, 398

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 316, 172, 11, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 172, 11, 398 is 1.

Therefore, GCD of numbers 316, 172, 11, 398 is 1

Given Input Data is 316, 172, 11, 398

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 11 is 11

Prime Factorization of 398 is 2 x 199

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(316, 172) = 13588

GCD(316, 172) = ( 316 x 172 ) / 13588

GCD(316, 172) = 54352 / 13588

GCD(316, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 11

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

LCM(4, 11) = 44

GCD(4, 11) = ( 4 x 11 ) / 44

GCD(4, 11) = 44 / 44

GCD(4, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 316, 172, 11, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 791, 80, 970
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• GCD of 996, 559, 92, 262

1. What is the GCD of 316, 172, 11, 398?

GCD of 316, 172, 11, 398 is 1

2. Where do I get the detailed procedure to find GCD of 316, 172, 11, 398?

You can find a detailed procedure to find GCD of 316, 172, 11, 398 on our page.

3. How to find GCD of 316, 172, 11, 398 on a calculator?

You can find the GCD of 316, 172, 11, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.