GCD of 298, 562, 576, 864 Calculator

Given Input numbers are 298, 562, 576, 864

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

Greatest Common Divisior

We found the divisors of 298, 562, 576, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 562, 576, 864 is 2.

Therefore, GCD of numbers 298, 562, 576, 864 is 2

Given Input Data is 298, 562, 576, 864

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 298 is 2 x 149

Prime Factorization of 562 is 2 x 281

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(298, 562) = 83738

GCD(298, 562) = ( 298 x 562 ) / 83738

GCD(298, 562) = 167476 / 83738

GCD(298, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 298, 562, 576, 864 is 2

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1. What is the GCD of 298, 562, 576, 864?

GCD of 298, 562, 576, 864 is 2

2. Where do I get the detailed procedure to find GCD of 298, 562, 576, 864?

You can find a detailed procedure to find GCD of 298, 562, 576, 864 on our page.

3. How to find GCD of 298, 562, 576, 864 on a calculator?

You can find the GCD of 298, 562, 576, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.