GCD of 14, 142, 286, 326 Calculator

Given Input numbers are 14, 142, 286, 326

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 14, 142, 286, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 142, 286, 326 is 2.

Therefore, GCD of numbers 14, 142, 286, 326 is 2

Given Input Data is 14, 142, 286, 326

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 142 is 2 x 71

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 326 is 2 x 163

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 142) = 994

GCD(14, 142) = ( 14 x 142 ) / 994

GCD(14, 142) = 1988 / 994

GCD(14, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

GCD of 14, 142, 286, 326 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 146, 609, 603
• GCD of 50, 101, 273, 589
• GCD of 32, 823, 826, 459
• GCD of 62, 437, 458, 684
• GCD of 12, 881, 786, 657

1. What is the GCD of 14, 142, 286, 326?

GCD of 14, 142, 286, 326 is 2

2. Where do I get the detailed procedure to find GCD of 14, 142, 286, 326?

You can find a detailed procedure to find GCD of 14, 142, 286, 326 on our page.

3. How to find GCD of 14, 142, 286, 326 on a calculator?

You can find the GCD of 14, 142, 286, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.