GCD of 178, 499, 109, 396 Calculator

Given Input numbers are 178, 499, 109, 396

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 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 178, 499, 109, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 499, 109, 396 is 1.

Therefore, GCD of numbers 178, 499, 109, 396 is 1

Given Input Data is 178, 499, 109, 396

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 499 is 499

Prime Factorization of 109 is 109

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(178, 499) = 88822

GCD(178, 499) = ( 178 x 499 ) / 88822

GCD(178, 499) = 88822 / 88822

GCD(178, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 178, 499, 109, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 961, 203, 925
• GCD of 369, 279, 501, 581
• GCD of 726, 797, 280, 983
• GCD of 137, 224, 499, 860
• GCD of 122, 461, 343, 902

1. What is the GCD of 178, 499, 109, 396?

GCD of 178, 499, 109, 396 is 1

2. Where do I get the detailed procedure to find GCD of 178, 499, 109, 396?

You can find a detailed procedure to find GCD of 178, 499, 109, 396 on our page.

3. How to find GCD of 178, 499, 109, 396 on a calculator?

You can find the GCD of 178, 499, 109, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.