GCD of 704, 324, 864 Calculator

Given Input numbers are 704, 324, 864

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 704, 324, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 324, 864 is 4.

Therefore, GCD of numbers 704, 324, 864 is 4

Given Input Data is 704, 324, 864

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 324 is 2 x 2 x 3 x 3 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 2²

Multiplying them we get the GCD as 4

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(704, 324) = 57024

GCD(704, 324) = ( 704 x 324 ) / 57024

GCD(704, 324) = 228096 / 57024

GCD(704, 324) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 864

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

LCM(4, 864) = 864

GCD(4, 864) = ( 4 x 864 ) / 864

GCD(4, 864) = 3456 / 864

GCD(4, 864) = 4

GCD of 704, 324, 864 is 4

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• GCD of 379, 295, 882
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1. What is the GCD of 704, 324, 864?

GCD of 704, 324, 864 is 4

2. Where do I get the detailed procedure to find GCD of 704, 324, 864?

You can find a detailed procedure to find GCD of 704, 324, 864 on our page.

3. How to find GCD of 704, 324, 864 on a calculator?

You can find the GCD of 704, 324, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.