GCD of 512, 316, 800, 544 Calculator

Given Input numbers are 512, 316, 800, 544

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 512, 316, 800, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 316, 800, 544 is 4.

Therefore, GCD of numbers 512, 316, 800, 544 is 4

Given Input Data is 512, 316, 800, 544

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 316 is 2 x 2 x 79

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 316) = 40448

GCD(512, 316) = ( 512 x 316 ) / 40448

GCD(512, 316) = 161792 / 40448

GCD(512, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 800

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

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

GCD(4, 800) = 3200 / 800

GCD(4, 800) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 544

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

LCM(4, 544) = 544

GCD(4, 544) = ( 4 x 544 ) / 544

GCD(4, 544) = 2176 / 544

GCD(4, 544) = 4

GCD of 512, 316, 800, 544 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 480, 263, 403
• GCD of 496, 941, 516, 638
• GCD of 779, 873, 950, 701
• GCD of 498, 482, 713, 309
• GCD of 947, 940, 344, 432

1. What is the GCD of 512, 316, 800, 544?

GCD of 512, 316, 800, 544 is 4

2. Where do I get the detailed procedure to find GCD of 512, 316, 800, 544?

You can find a detailed procedure to find GCD of 512, 316, 800, 544 on our page.

3. How to find GCD of 512, 316, 800, 544 on a calculator?

You can find the GCD of 512, 316, 800, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.