GCD of 864, 244, 154, 286 Calculator

Given Input numbers are 864, 244, 154, 286

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 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 864, 244, 154, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 244, 154, 286 is 2.

Therefore, GCD of numbers 864, 244, 154, 286 is 2

Given Input Data is 864, 244, 154, 286

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 244 is 2 x 2 x 61

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 286 is 2 x 11 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, 244) = 52704

GCD(864, 244) = ( 864 x 244 ) / 52704

GCD(864, 244) = 210816 / 52704

GCD(864, 244) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 154

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

LCM(4, 154) = 308

GCD(4, 154) = ( 4 x 154 ) / 308

GCD(4, 154) = 616 / 308

GCD(4, 154) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

GCD of 864, 244, 154, 286 is 2

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1. What is the GCD of 864, 244, 154, 286?

GCD of 864, 244, 154, 286 is 2

2. Where do I get the detailed procedure to find GCD of 864, 244, 154, 286?

You can find a detailed procedure to find GCD of 864, 244, 154, 286 on our page.

3. How to find GCD of 864, 244, 154, 286 on a calculator?

You can find the GCD of 864, 244, 154, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.