GCD of 864, 458, 998, 564 Calculator

Given Input numbers are 864, 458, 998, 564

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 864, 458, 998, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 458, 998, 564 is 2.

Therefore, GCD of numbers 864, 458, 998, 564 is 2

Given Input Data is 864, 458, 998, 564

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 458 is 2 x 229

Prime Factorization of 998 is 2 x 499

Prime Factorization of 564 is 2 x 2 x 3 x 47

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, 458) = 197856

GCD(864, 458) = ( 864 x 458 ) / 197856

GCD(864, 458) = 395712 / 197856

GCD(864, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

GCD of 864, 458, 998, 564 is 2

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1. What is the GCD of 864, 458, 998, 564?

GCD of 864, 458, 998, 564 is 2

2. Where do I get the detailed procedure to find GCD of 864, 458, 998, 564?

You can find a detailed procedure to find GCD of 864, 458, 998, 564 on our page.

3. How to find GCD of 864, 458, 998, 564 on a calculator?

You can find the GCD of 864, 458, 998, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.