GCD of 176, 238, 320 Calculator

Given Input numbers are 176, 238, 320

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

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 176, 238, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 238, 320 is 2.

Therefore, GCD of numbers 176, 238, 320 is 2

Given Input Data is 176, 238, 320

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

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(176, 238) = 20944

GCD(176, 238) = ( 176 x 238 ) / 20944

GCD(176, 238) = 41888 / 20944

GCD(176, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

GCD of 176, 238, 320 is 2

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1. What is the GCD of 176, 238, 320?

GCD of 176, 238, 320 is 2

2. Where do I get the detailed procedure to find GCD of 176, 238, 320?

You can find a detailed procedure to find GCD of 176, 238, 320 on our page.

3. How to find GCD of 176, 238, 320 on a calculator?

You can find the GCD of 176, 238, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.