GCD of 251, 600, 272, 810 Calculator

Given Input numbers are 251, 600, 272, 810

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

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

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

Greatest Common Divisior

We found the divisors of 251, 600, 272, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 600, 272, 810 is 1.

Therefore, GCD of numbers 251, 600, 272, 810 is 1

Given Input Data is 251, 600, 272, 810

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

Prime Factorization of 251 is 251

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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

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(251, 600) = 150600

GCD(251, 600) = ( 251 x 600 ) / 150600

GCD(251, 600) = 150600 / 150600

GCD(251, 600) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 1

GCD of 251, 600, 272, 810 is 1

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1. What is the GCD of 251, 600, 272, 810?

GCD of 251, 600, 272, 810 is 1

2. Where do I get the detailed procedure to find GCD of 251, 600, 272, 810?

You can find a detailed procedure to find GCD of 251, 600, 272, 810 on our page.

3. How to find GCD of 251, 600, 272, 810 on a calculator?

You can find the GCD of 251, 600, 272, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.