GCD of 264, 248, 728 Calculator

Given Input numbers are 264, 248, 728

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 264, 248, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 248, 728 is 8.

Therefore, GCD of numbers 264, 248, 728 is 8

Given Input Data is 264, 248, 728

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(264, 248) = 8184

GCD(264, 248) = ( 264 x 248 ) / 8184

GCD(264, 248) = 65472 / 8184

GCD(264, 248) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 728

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

LCM(8, 728) = 728

GCD(8, 728) = ( 8 x 728 ) / 728

GCD(8, 728) = 5824 / 728

GCD(8, 728) = 8

GCD of 264, 248, 728 is 8

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• GCD of 570, 244, 176
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1. What is the GCD of 264, 248, 728?

GCD of 264, 248, 728 is 8

2. Where do I get the detailed procedure to find GCD of 264, 248, 728?

You can find a detailed procedure to find GCD of 264, 248, 728 on our page.

3. How to find GCD of 264, 248, 728 on a calculator?

You can find the GCD of 264, 248, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.