GCD of 176, 268, 16, 394 Calculator

Given Input numbers are 176, 268, 16, 394

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 176, 268, 16, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 268, 16, 394 is 2.

Therefore, GCD of numbers 176, 268, 16, 394 is 2

Given Input Data is 176, 268, 16, 394

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 268 is 2 x 2 x 67

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 394 is 2 x 197

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, 268) = 11792

GCD(176, 268) = ( 176 x 268 ) / 11792

GCD(176, 268) = 47168 / 11792

GCD(176, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 16

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

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

GCD(4, 16) = 64 / 16

GCD(4, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 394

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

LCM(4, 394) = 788

GCD(4, 394) = ( 4 x 394 ) / 788

GCD(4, 394) = 1576 / 788

GCD(4, 394) = 2

GCD of 176, 268, 16, 394 is 2

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• GCD of 664, 246, 23, 805
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1. What is the GCD of 176, 268, 16, 394?

GCD of 176, 268, 16, 394 is 2

2. Where do I get the detailed procedure to find GCD of 176, 268, 16, 394?

You can find a detailed procedure to find GCD of 176, 268, 16, 394 on our page.

3. How to find GCD of 176, 268, 16, 394 on a calculator?

You can find the GCD of 176, 268, 16, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.