GCD of 330, 186, 730, 914 Calculator

Given Input numbers are 330, 186, 730, 914

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

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 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 330, 186, 730, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 186, 730, 914 is 2.

Therefore, GCD of numbers 330, 186, 730, 914 is 2

Given Input Data is 330, 186, 730, 914

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

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 914 is 2 x 457

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(330, 186) = 10230

GCD(330, 186) = ( 330 x 186 ) / 10230

GCD(330, 186) = 61380 / 10230

GCD(330, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 730

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

LCM(6, 730) = 2190

GCD(6, 730) = ( 6 x 730 ) / 2190

GCD(6, 730) = 4380 / 2190

GCD(6, 730) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 914

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

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

GCD(2, 914) = 1828 / 914

GCD(2, 914) = 2

GCD of 330, 186, 730, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 261, 824, 523
• GCD of 331, 567, 850, 628
• GCD of 103, 449, 244, 485
• GCD of 776, 675, 938, 597
• GCD of 438, 213, 383, 647

1. What is the GCD of 330, 186, 730, 914?

GCD of 330, 186, 730, 914 is 2

2. Where do I get the detailed procedure to find GCD of 330, 186, 730, 914?

You can find a detailed procedure to find GCD of 330, 186, 730, 914 on our page.

3. How to find GCD of 330, 186, 730, 914 on a calculator?

You can find the GCD of 330, 186, 730, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.