GCD of 810, 750, 627, 256 Calculator

Given Input numbers are 810, 750, 627, 256

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 810, 750, 627, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 750, 627, 256 is 1.

Therefore, GCD of numbers 810, 750, 627, 256 is 1

Given Input Data is 810, 750, 627, 256

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

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(810, 750) = 20250

GCD(810, 750) = ( 810 x 750 ) / 20250

GCD(810, 750) = 607500 / 20250

GCD(810, 750) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 627

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

LCM(30, 627) = 6270

GCD(30, 627) = ( 30 x 627 ) / 6270

GCD(30, 627) = 18810 / 6270

GCD(30, 627) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 256

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

LCM(3, 256) = 768

GCD(3, 256) = ( 3 x 256 ) / 768

GCD(3, 256) = 768 / 768

GCD(3, 256) = 1

GCD of 810, 750, 627, 256 is 1

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1. What is the GCD of 810, 750, 627, 256?

GCD of 810, 750, 627, 256 is 1

2. Where do I get the detailed procedure to find GCD of 810, 750, 627, 256?

You can find a detailed procedure to find GCD of 810, 750, 627, 256 on our page.

3. How to find GCD of 810, 750, 627, 256 on a calculator?

You can find the GCD of 810, 750, 627, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.