GCD of 264, 736, 176 Calculator

Given Input numbers are 264, 736, 176

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 264, 736, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 736, 176 is 8.

Therefore, GCD of numbers 264, 736, 176 is 8

Given Input Data is 264, 736, 176

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 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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, 736) = 24288

GCD(264, 736) = ( 264 x 736 ) / 24288

GCD(264, 736) = 194304 / 24288

GCD(264, 736) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 176

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

LCM(8, 176) = 176

GCD(8, 176) = ( 8 x 176 ) / 176

GCD(8, 176) = 1408 / 176

GCD(8, 176) = 8

GCD of 264, 736, 176 is 8

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1. What is the GCD of 264, 736, 176?

GCD of 264, 736, 176 is 8

2. Where do I get the detailed procedure to find GCD of 264, 736, 176?

You can find a detailed procedure to find GCD of 264, 736, 176 on our page.

3. How to find GCD of 264, 736, 176 on a calculator?

You can find the GCD of 264, 736, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.