GCD of 144, 514, 800 Calculator

Given Input numbers are 144, 514, 800

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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

Greatest Common Divisior

We found the divisors of 144, 514, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 514, 800 is 2.

Therefore, GCD of numbers 144, 514, 800 is 2

Given Input Data is 144, 514, 800

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 514 is 2 x 257

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

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(144, 514) = 37008

GCD(144, 514) = ( 144 x 514 ) / 37008

GCD(144, 514) = 74016 / 37008

GCD(144, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

GCD of 144, 514, 800 is 2

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• GCD of 813, 594, 357
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1. What is the GCD of 144, 514, 800?

GCD of 144, 514, 800 is 2

2. Where do I get the detailed procedure to find GCD of 144, 514, 800?

You can find a detailed procedure to find GCD of 144, 514, 800 on our page.

3. How to find GCD of 144, 514, 800 on a calculator?

You can find the GCD of 144, 514, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.