GCD of 152, 300, 14, 300 Calculator

Given Input numbers are 152, 300, 14, 300

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

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 14

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

1, 2, 7, 14

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

Greatest Common Divisior

We found the divisors of 152, 300, 14, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 300, 14, 300 is 2.

Therefore, GCD of numbers 152, 300, 14, 300 is 2

Given Input Data is 152, 300, 14, 300

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

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

Prime Factorization of 14 is 2 x 7

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

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(152, 300) = 11400

GCD(152, 300) = ( 152 x 300 ) / 11400

GCD(152, 300) = 45600 / 11400

GCD(152, 300) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

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

GCD of 152, 300, 14, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 603, 46, 860
• GCD of 675, 169, 75, 844
• GCD of 424, 711, 72, 943
• GCD of 999, 743, 82, 513
• GCD of 975, 682, 33, 143

1. What is the GCD of 152, 300, 14, 300?

GCD of 152, 300, 14, 300 is 2

2. Where do I get the detailed procedure to find GCD of 152, 300, 14, 300?

You can find a detailed procedure to find GCD of 152, 300, 14, 300 on our page.

3. How to find GCD of 152, 300, 14, 300 on a calculator?

You can find the GCD of 152, 300, 14, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.