GCD of 732, 258, 512 Calculator

Given Input numbers are 732, 258, 512

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

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 732, 258, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 258, 512 is 2.

Therefore, GCD of numbers 732, 258, 512 is 2

Given Input Data is 732, 258, 512

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 258 is 2 x 3 x 43

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(732, 258) = 31476

GCD(732, 258) = ( 732 x 258 ) / 31476

GCD(732, 258) = 188856 / 31476

GCD(732, 258) = 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 732, 258, 512 is 2

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1. What is the GCD of 732, 258, 512?

GCD of 732, 258, 512 is 2

2. Where do I get the detailed procedure to find GCD of 732, 258, 512?

You can find a detailed procedure to find GCD of 732, 258, 512 on our page.

3. How to find GCD of 732, 258, 512 on a calculator?

You can find the GCD of 732, 258, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.