GCD of 16, 313, 838, 212 Calculator

Given Input numbers are 16, 313, 838, 212

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 313

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

1, 313

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 16, 313, 838, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 313, 838, 212 is 1.

Therefore, GCD of numbers 16, 313, 838, 212 is 1

Given Input Data is 16, 313, 838, 212

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 313 is 313

Prime Factorization of 838 is 2 x 419

Prime Factorization of 212 is 2 x 2 x 53

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(16, 313) = 5008

GCD(16, 313) = ( 16 x 313 ) / 5008

GCD(16, 313) = 5008 / 5008

GCD(16, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 16, 313, 838, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 898, 944, 717
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• GCD of 26, 132, 592, 218

1. What is the GCD of 16, 313, 838, 212?

GCD of 16, 313, 838, 212 is 1

2. Where do I get the detailed procedure to find GCD of 16, 313, 838, 212?

You can find a detailed procedure to find GCD of 16, 313, 838, 212 on our page.

3. How to find GCD of 16, 313, 838, 212 on a calculator?

You can find the GCD of 16, 313, 838, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.