GCD of 106, 321, 19, 714 Calculator

Given Input numbers are 106, 321, 19, 714

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 106, 321, 19, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 321, 19, 714 is 1.

Therefore, GCD of numbers 106, 321, 19, 714 is 1

Given Input Data is 106, 321, 19, 714

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 321 is 3 x 107

Prime Factorization of 19 is 19

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(106, 321) = 34026

GCD(106, 321) = ( 106 x 321 ) / 34026

GCD(106, 321) = 34026 / 34026

GCD(106, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 106, 321, 19, 714 is 1

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• GCD of 776, 961, 76, 388
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• GCD of 806, 318, 55, 167

1. What is the GCD of 106, 321, 19, 714?

GCD of 106, 321, 19, 714 is 1

2. Where do I get the detailed procedure to find GCD of 106, 321, 19, 714?

You can find a detailed procedure to find GCD of 106, 321, 19, 714 on our page.

3. How to find GCD of 106, 321, 19, 714 on a calculator?

You can find the GCD of 106, 321, 19, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.