GCD of 16, 344, 197, 107 Calculator

Given Input numbers are 16, 344, 197, 107

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 16, 344, 197, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 344, 197, 107 is 1.

Therefore, GCD of numbers 16, 344, 197, 107 is 1

Given Input Data is 16, 344, 197, 107

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 197 is 197

Prime Factorization of 107 is 107

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, 344) = 688

GCD(16, 344) = ( 16 x 344 ) / 688

GCD(16, 344) = 5504 / 688

GCD(16, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 197

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

LCM(8, 197) = 1576

GCD(8, 197) = ( 8 x 197 ) / 1576

GCD(8, 197) = 1576 / 1576

GCD(8, 197) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 16, 344, 197, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 329, 818, 390
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• GCD of 14, 571, 882, 499

1. What is the GCD of 16, 344, 197, 107?

GCD of 16, 344, 197, 107 is 1

2. Where do I get the detailed procedure to find GCD of 16, 344, 197, 107?

You can find a detailed procedure to find GCD of 16, 344, 197, 107 on our page.

3. How to find GCD of 16, 344, 197, 107 on a calculator?

You can find the GCD of 16, 344, 197, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.