GCD of 331, 162, 288, 345 Calculator

Given Input numbers are 331, 162, 288, 345

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 331, 162, 288, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 162, 288, 345 is 1.

Therefore, GCD of numbers 331, 162, 288, 345 is 1

Given Input Data is 331, 162, 288, 345

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

Prime Factorization of 331 is 331

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 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(331, 162) = 53622

GCD(331, 162) = ( 331 x 162 ) / 53622

GCD(331, 162) = 53622 / 53622

GCD(331, 162) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 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 331, 162, 288, 345 is 1

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1. What is the GCD of 331, 162, 288, 345?

GCD of 331, 162, 288, 345 is 1

2. Where do I get the detailed procedure to find GCD of 331, 162, 288, 345?

You can find a detailed procedure to find GCD of 331, 162, 288, 345 on our page.

3. How to find GCD of 331, 162, 288, 345 on a calculator?

You can find the GCD of 331, 162, 288, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.