GCD of 298, 179, 804, 171 Calculator

Given Input numbers are 298, 179, 804, 171

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 298, 179, 804, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 179, 804, 171 is 1.

Therefore, GCD of numbers 298, 179, 804, 171 is 1

Given Input Data is 298, 179, 804, 171

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 179 is 179

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 171 is 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(298, 179) = 53342

GCD(298, 179) = ( 298 x 179 ) / 53342

GCD(298, 179) = 53342 / 53342

GCD(298, 179) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 298, 179, 804, 171 is 1

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1. What is the GCD of 298, 179, 804, 171?

GCD of 298, 179, 804, 171 is 1

2. Where do I get the detailed procedure to find GCD of 298, 179, 804, 171?

You can find a detailed procedure to find GCD of 298, 179, 804, 171 on our page.

3. How to find GCD of 298, 179, 804, 171 on a calculator?

You can find the GCD of 298, 179, 804, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.