GCD of 918, 312, 512 Calculator

Given Input numbers are 918, 312, 512

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 918, 312, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 312, 512 is 2.

Therefore, GCD of numbers 918, 312, 512 is 2

Given Input Data is 918, 312, 512

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(918, 312) = 47736

GCD(918, 312) = ( 918 x 312 ) / 47736

GCD(918, 312) = 286416 / 47736

GCD(918, 312) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 512

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

LCM(6, 512) = 1536

GCD(6, 512) = ( 6 x 512 ) / 1536

GCD(6, 512) = 3072 / 1536

GCD(6, 512) = 2

GCD of 918, 312, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 188, 633
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• GCD of 487, 327, 299
• GCD of 293, 552, 756
• GCD of 915, 210, 652

1. What is the GCD of 918, 312, 512?

GCD of 918, 312, 512 is 2

2. Where do I get the detailed procedure to find GCD of 918, 312, 512?

You can find a detailed procedure to find GCD of 918, 312, 512 on our page.

3. How to find GCD of 918, 312, 512 on a calculator?

You can find the GCD of 918, 312, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.