GCD of 814, 366, 14, 300 Calculator

Given Input numbers are 814, 366, 14, 300

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 814, 366, 14, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 366, 14, 300 is 2.

Therefore, GCD of numbers 814, 366, 14, 300 is 2

Given Input Data is 814, 366, 14, 300

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 366 is 2 x 3 x 61

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(814, 366) = 148962

GCD(814, 366) = ( 814 x 366 ) / 148962

GCD(814, 366) = 297924 / 148962

GCD(814, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 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 814, 366, 14, 300 is 2

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• GCD of 428, 442, 42, 359
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• GCD of 625, 275, 11, 757

1. What is the GCD of 814, 366, 14, 300?

GCD of 814, 366, 14, 300 is 2

2. Where do I get the detailed procedure to find GCD of 814, 366, 14, 300?

You can find a detailed procedure to find GCD of 814, 366, 14, 300 on our page.

3. How to find GCD of 814, 366, 14, 300 on a calculator?

You can find the GCD of 814, 366, 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.