GCD of 414, 330, 28, 738 Calculator

Given Input numbers are 414, 330, 28, 738

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 414, 330, 28, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 330, 28, 738 is 2.

Therefore, GCD of numbers 414, 330, 28, 738 is 2

Given Input Data is 414, 330, 28, 738

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(414, 330) = 22770

GCD(414, 330) = ( 414 x 330 ) / 22770

GCD(414, 330) = 136620 / 22770

GCD(414, 330) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 28

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

LCM(6, 28) = 84

GCD(6, 28) = ( 6 x 28 ) / 84

GCD(6, 28) = 168 / 84

GCD(6, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 414, 330, 28, 738 is 2

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1. What is the GCD of 414, 330, 28, 738?

GCD of 414, 330, 28, 738 is 2

2. Where do I get the detailed procedure to find GCD of 414, 330, 28, 738?

You can find a detailed procedure to find GCD of 414, 330, 28, 738 on our page.

3. How to find GCD of 414, 330, 28, 738 on a calculator?

You can find the GCD of 414, 330, 28, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.