GCD of 14, 346, 510, 996 Calculator

Given Input numbers are 14, 346, 510, 996

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 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 14, 346, 510, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 346, 510, 996 is 2.

Therefore, GCD of numbers 14, 346, 510, 996 is 2

Given Input Data is 14, 346, 510, 996

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 346 is 2 x 173

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 996 is 2 x 2 x 3 x 83

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, 346) = 2422

GCD(14, 346) = ( 14 x 346 ) / 2422

GCD(14, 346) = 4844 / 2422

GCD(14, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 510

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

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

GCD(2, 510) = 1020 / 510

GCD(2, 510) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

GCD of 14, 346, 510, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 441, 576, 863
• GCD of 88, 785, 157, 143
• GCD of 30, 374, 959, 340
• GCD of 12, 526, 884, 434
• GCD of 78, 927, 985, 561

1. What is the GCD of 14, 346, 510, 996?

GCD of 14, 346, 510, 996 is 2

2. Where do I get the detailed procedure to find GCD of 14, 346, 510, 996?

You can find a detailed procedure to find GCD of 14, 346, 510, 996 on our page.

3. How to find GCD of 14, 346, 510, 996 on a calculator?

You can find the GCD of 14, 346, 510, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.