GCD of 512, 504, 40 Calculator

Given Input numbers are 512, 504, 40

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

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Greatest Common Divisior

We found the divisors of 512, 504, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 504, 40 is 8.

Therefore, GCD of numbers 512, 504, 40 is 8

Given Input Data is 512, 504, 40

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

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(512, 504) = 32256

GCD(512, 504) = ( 512 x 504 ) / 32256

GCD(512, 504) = 258048 / 32256

GCD(512, 504) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 40

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

LCM(8, 40) = 40

GCD(8, 40) = ( 8 x 40 ) / 40

GCD(8, 40) = 320 / 40

GCD(8, 40) = 8

GCD of 512, 504, 40 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 380, 34
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• GCD of 948, 757, 44
• GCD of 641, 346, 90
• GCD of 593, 441, 14

1. What is the GCD of 512, 504, 40?

GCD of 512, 504, 40 is 8

2. Where do I get the detailed procedure to find GCD of 512, 504, 40?

You can find a detailed procedure to find GCD of 512, 504, 40 on our page.

3. How to find GCD of 512, 504, 40 on a calculator?

You can find the GCD of 512, 504, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.