GCD of 512, 400, 42, 536 Calculator

Given Input numbers are 512, 400, 42, 536

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 512, 400, 42, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 400, 42, 536 is 2.

Therefore, GCD of numbers 512, 400, 42, 536 is 2

Given Input Data is 512, 400, 42, 536

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 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(512, 400) = 12800

GCD(512, 400) = ( 512 x 400 ) / 12800

GCD(512, 400) = 204800 / 12800

GCD(512, 400) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 42

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

LCM(16, 42) = 336

GCD(16, 42) = ( 16 x 42 ) / 336

GCD(16, 42) = 672 / 336

GCD(16, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 536

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

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

GCD(2, 536) = 1072 / 536

GCD(2, 536) = 2

GCD of 512, 400, 42, 536 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 795, 21, 593
• GCD of 560, 749, 69, 333
• GCD of 713, 610, 37, 413
• GCD of 333, 680, 91, 535
• GCD of 561, 710, 68, 497

1. What is the GCD of 512, 400, 42, 536?

GCD of 512, 400, 42, 536 is 2

2. Where do I get the detailed procedure to find GCD of 512, 400, 42, 536?

You can find a detailed procedure to find GCD of 512, 400, 42, 536 on our page.

3. How to find GCD of 512, 400, 42, 536 on a calculator?

You can find the GCD of 512, 400, 42, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.