GCD of 182, 363, 12, 345 Calculator

Given Input numbers are 182, 363, 12, 345

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 182, 363, 12, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 363, 12, 345 is 1.

Therefore, GCD of numbers 182, 363, 12, 345 is 1

Given Input Data is 182, 363, 12, 345

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 345 is 3 x 5 x 23

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(182, 363) = 66066

GCD(182, 363) = ( 182 x 363 ) / 66066

GCD(182, 363) = 66066 / 66066

GCD(182, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 182, 363, 12, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 196, 44, 580
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• GCD of 607, 698, 84, 213
• GCD of 153, 294, 46, 970
• GCD of 769, 138, 69, 891

1. What is the GCD of 182, 363, 12, 345?

GCD of 182, 363, 12, 345 is 1

2. Where do I get the detailed procedure to find GCD of 182, 363, 12, 345?

You can find a detailed procedure to find GCD of 182, 363, 12, 345 on our page.

3. How to find GCD of 182, 363, 12, 345 on a calculator?

You can find the GCD of 182, 363, 12, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.