GCD of 185, 169, 36, 396 Calculator

Given Input numbers are 185, 169, 36, 396

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 185, 169, 36, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 169, 36, 396 is 1.

Therefore, GCD of numbers 185, 169, 36, 396 is 1

Given Input Data is 185, 169, 36, 396

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 169 is 13 x 13

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(185, 169) = 31265

GCD(185, 169) = ( 185 x 169 ) / 31265

GCD(185, 169) = 31265 / 31265

GCD(185, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 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 185, 169, 36, 396 is 1

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1. What is the GCD of 185, 169, 36, 396?

GCD of 185, 169, 36, 396 is 1

2. Where do I get the detailed procedure to find GCD of 185, 169, 36, 396?

You can find a detailed procedure to find GCD of 185, 169, 36, 396 on our page.

3. How to find GCD of 185, 169, 36, 396 on a calculator?

You can find the GCD of 185, 169, 36, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.