GCD of 864, 287, 505, 272 Calculator

Given Input numbers are 864, 287, 505, 272

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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

Greatest Common Divisior

We found the divisors of 864, 287, 505, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 287, 505, 272 is 1.

Therefore, GCD of numbers 864, 287, 505, 272 is 1

Given Input Data is 864, 287, 505, 272

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 287 is 7 x 41

Prime Factorization of 505 is 5 x 101

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

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(864, 287) = 247968

GCD(864, 287) = ( 864 x 287 ) / 247968

GCD(864, 287) = 247968 / 247968

GCD(864, 287) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

Step3:

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

GCD of 864, 287, 505, 272 is 1

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1. What is the GCD of 864, 287, 505, 272?

GCD of 864, 287, 505, 272 is 1

2. Where do I get the detailed procedure to find GCD of 864, 287, 505, 272?

You can find a detailed procedure to find GCD of 864, 287, 505, 272 on our page.

3. How to find GCD of 864, 287, 505, 272 on a calculator?

You can find the GCD of 864, 287, 505, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.