GCD of 14, 556, 300, 144 Calculator

Given Input numbers are 14, 556, 300, 144

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 14, 556, 300, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 556, 300, 144 is 2.

Therefore, GCD of numbers 14, 556, 300, 144 is 2

Given Input Data is 14, 556, 300, 144

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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, 556) = 3892

GCD(14, 556) = ( 14 x 556 ) / 3892

GCD(14, 556) = 7784 / 3892

GCD(14, 556) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

GCD of 14, 556, 300, 144 is 2

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• GCD of 46, 488, 732, 850
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• GCD of 44, 303, 907, 455

1. What is the GCD of 14, 556, 300, 144?

GCD of 14, 556, 300, 144 is 2

2. Where do I get the detailed procedure to find GCD of 14, 556, 300, 144?

You can find a detailed procedure to find GCD of 14, 556, 300, 144 on our page.

3. How to find GCD of 14, 556, 300, 144 on a calculator?

You can find the GCD of 14, 556, 300, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.