GCD of 864, 495, 32, 375 Calculator

Given Input numbers are 864, 495, 32, 375

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 864, 495, 32, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 495, 32, 375 is 1.

Therefore, GCD of numbers 864, 495, 32, 375 is 1

Given Input Data is 864, 495, 32, 375

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 495 is 3 x 3 x 5 x 11

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 375 is 3 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, 495) = 47520

GCD(864, 495) = ( 864 x 495 ) / 47520

GCD(864, 495) = 427680 / 47520

GCD(864, 495) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 32

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

LCM(9, 32) = 288

GCD(9, 32) = ( 9 x 32 ) / 288

GCD(9, 32) = 288 / 288

GCD(9, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 864, 495, 32, 375 is 1

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1. What is the GCD of 864, 495, 32, 375?

GCD of 864, 495, 32, 375 is 1

2. Where do I get the detailed procedure to find GCD of 864, 495, 32, 375?

You can find a detailed procedure to find GCD of 864, 495, 32, 375 on our page.

3. How to find GCD of 864, 495, 32, 375 on a calculator?

You can find the GCD of 864, 495, 32, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.