GCD of 864, 150, 563, 250 Calculator

Given Input numbers are 864, 150, 563, 250

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 864, 150, 563, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 150, 563, 250 is 1.

Therefore, GCD of numbers 864, 150, 563, 250 is 1

Given Input Data is 864, 150, 563, 250

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 150 is 2 x 3 x 5 x 5

Prime Factorization of 563 is 563

Prime Factorization of 250 is 2 x 5 x 5 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(864, 150) = 21600

GCD(864, 150) = ( 864 x 150 ) / 21600

GCD(864, 150) = 129600 / 21600

GCD(864, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 563

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

LCM(6, 563) = 3378

GCD(6, 563) = ( 6 x 563 ) / 3378

GCD(6, 563) = 3378 / 3378

GCD(6, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 864, 150, 563, 250 is 1

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1. What is the GCD of 864, 150, 563, 250?

GCD of 864, 150, 563, 250 is 1

2. Where do I get the detailed procedure to find GCD of 864, 150, 563, 250?

You can find a detailed procedure to find GCD of 864, 150, 563, 250 on our page.

3. How to find GCD of 864, 150, 563, 250 on a calculator?

You can find the GCD of 864, 150, 563, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.