GCD of 176, 164, 494 Calculator

Given Input numbers are 176, 164, 494

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 176, 164, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 164, 494 is 2.

Therefore, GCD of numbers 176, 164, 494 is 2

Given Input Data is 176, 164, 494

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 164 is 2 x 2 x 41

Prime Factorization of 494 is 2 x 13 x 19

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, 164) = 7216

GCD(176, 164) = ( 176 x 164 ) / 7216

GCD(176, 164) = 28864 / 7216

GCD(176, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 494

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

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

GCD(4, 494) = 1976 / 988

GCD(4, 494) = 2

GCD of 176, 164, 494 is 2

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1. What is the GCD of 176, 164, 494?

GCD of 176, 164, 494 is 2

2. Where do I get the detailed procedure to find GCD of 176, 164, 494?

You can find a detailed procedure to find GCD of 176, 164, 494 on our page.

3. How to find GCD of 176, 164, 494 on a calculator?

You can find the GCD of 176, 164, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.