GCD of 178, 292, 796 Calculator

Given Input numbers are 178, 292, 796

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 178, 292, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 292, 796 is 2.

Therefore, GCD of numbers 178, 292, 796 is 2

Given Input Data is 178, 292, 796

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 796 is 2 x 2 x 199

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(178, 292) = 25988

GCD(178, 292) = ( 178 x 292 ) / 25988

GCD(178, 292) = 51976 / 25988

GCD(178, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

GCD of 178, 292, 796 is 2

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1. What is the GCD of 178, 292, 796?

GCD of 178, 292, 796 is 2

2. Where do I get the detailed procedure to find GCD of 178, 292, 796?

You can find a detailed procedure to find GCD of 178, 292, 796 on our page.

3. How to find GCD of 178, 292, 796 on a calculator?

You can find the GCD of 178, 292, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.