GCD of 14, 457, 106, 351 Calculator

Given Input numbers are 14, 457, 106, 351

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 106

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

1, 2, 53, 106

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 14, 457, 106, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 457, 106, 351 is 1.

Therefore, GCD of numbers 14, 457, 106, 351 is 1

Given Input Data is 14, 457, 106, 351

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 457 is 457

Prime Factorization of 106 is 2 x 53

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(14, 457) = 6398

GCD(14, 457) = ( 14 x 457 ) / 6398

GCD(14, 457) = 6398 / 6398

GCD(14, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 14, 457, 106, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 879, 889, 614
• GCD of 46, 907, 123, 567
• GCD of 10, 615, 655, 150
• GCD of 39, 277, 728, 404
• GCD of 40, 452, 752, 264

1. What is the GCD of 14, 457, 106, 351?

GCD of 14, 457, 106, 351 is 1

2. Where do I get the detailed procedure to find GCD of 14, 457, 106, 351?

You can find a detailed procedure to find GCD of 14, 457, 106, 351 on our page.

3. How to find GCD of 14, 457, 106, 351 on a calculator?

You can find the GCD of 14, 457, 106, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.