GCD of 320, 648, 930, 318 Calculator

Given Input numbers are 320, 648, 930, 318

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 320, 648, 930, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 648, 930, 318 is 2.

Therefore, GCD of numbers 320, 648, 930, 318 is 2

Given Input Data is 320, 648, 930, 318

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 318 is 2 x 3 x 53

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(320, 648) = 25920

GCD(320, 648) = ( 320 x 648 ) / 25920

GCD(320, 648) = 207360 / 25920

GCD(320, 648) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 930

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

LCM(8, 930) = 3720

GCD(8, 930) = ( 8 x 930 ) / 3720

GCD(8, 930) = 7440 / 3720

GCD(8, 930) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

GCD of 320, 648, 930, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 413, 711, 483
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• GCD of 146, 165, 425, 439

1. What is the GCD of 320, 648, 930, 318?

GCD of 320, 648, 930, 318 is 2

2. Where do I get the detailed procedure to find GCD of 320, 648, 930, 318?

You can find a detailed procedure to find GCD of 320, 648, 930, 318 on our page.

3. How to find GCD of 320, 648, 930, 318 on a calculator?

You can find the GCD of 320, 648, 930, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.