GCD of 270, 912, 18, 310 Calculator

Given Input numbers are 270, 912, 18, 310

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 270, 912, 18, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 912, 18, 310 is 2.

Therefore, GCD of numbers 270, 912, 18, 310 is 2

Given Input Data is 270, 912, 18, 310

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 310 is 2 x 5 x 31

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(270, 912) = 41040

GCD(270, 912) = ( 270 x 912 ) / 41040

GCD(270, 912) = 246240 / 41040

GCD(270, 912) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 18

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

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

GCD(6, 18) = 108 / 18

GCD(6, 18) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 310

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

LCM(6, 310) = 930

GCD(6, 310) = ( 6 x 310 ) / 930

GCD(6, 310) = 1860 / 930

GCD(6, 310) = 2

GCD of 270, 912, 18, 310 is 2

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• GCD of 382, 599, 19, 215
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1. What is the GCD of 270, 912, 18, 310?

GCD of 270, 912, 18, 310 is 2

2. Where do I get the detailed procedure to find GCD of 270, 912, 18, 310?

You can find a detailed procedure to find GCD of 270, 912, 18, 310 on our page.

3. How to find GCD of 270, 912, 18, 310 on a calculator?

You can find the GCD of 270, 912, 18, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.