GCD of 864, 168, 896, 650 Calculator

Given Input numbers are 864, 168, 896, 650

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 864, 168, 896, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 168, 896, 650 is 2.

Therefore, GCD of numbers 864, 168, 896, 650 is 2

Given Input Data is 864, 168, 896, 650

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 650 is 2 x 5 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 168) = 6048

GCD(864, 168) = ( 864 x 168 ) / 6048

GCD(864, 168) = 145152 / 6048

GCD(864, 168) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 896

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

LCM(24, 896) = 2688

GCD(24, 896) = ( 24 x 896 ) / 2688

GCD(24, 896) = 21504 / 2688

GCD(24, 896) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 650

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

LCM(8, 650) = 2600

GCD(8, 650) = ( 8 x 650 ) / 2600

GCD(8, 650) = 5200 / 2600

GCD(8, 650) = 2

GCD of 864, 168, 896, 650 is 2

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1. What is the GCD of 864, 168, 896, 650?

GCD of 864, 168, 896, 650 is 2

2. Where do I get the detailed procedure to find GCD of 864, 168, 896, 650?

You can find a detailed procedure to find GCD of 864, 168, 896, 650 on our page.

3. How to find GCD of 864, 168, 896, 650 on a calculator?

You can find the GCD of 864, 168, 896, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.