GCD of 864, 465, 50, 159 Calculator

Given Input numbers are 864, 465, 50, 159

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 864, 465, 50, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 465, 50, 159 is 1.

Therefore, GCD of numbers 864, 465, 50, 159 is 1

Given Input Data is 864, 465, 50, 159

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 465 is 3 x 5 x 31

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 159 is 3 x 53

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, 465) = 133920

GCD(864, 465) = ( 864 x 465 ) / 133920

GCD(864, 465) = 401760 / 133920

GCD(864, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 50

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

LCM(3, 50) = 150

GCD(3, 50) = ( 3 x 50 ) / 150

GCD(3, 50) = 150 / 150

GCD(3, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 864, 465, 50, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 434, 23, 469
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• GCD of 205, 829, 54, 561

1. What is the GCD of 864, 465, 50, 159?

GCD of 864, 465, 50, 159 is 1

2. Where do I get the detailed procedure to find GCD of 864, 465, 50, 159?

You can find a detailed procedure to find GCD of 864, 465, 50, 159 on our page.

3. How to find GCD of 864, 465, 50, 159 on a calculator?

You can find the GCD of 864, 465, 50, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.