GCD of 346, 648, 12, 581 Calculator

Given Input numbers are 346, 648, 12, 581

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 346, 648, 12, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 648, 12, 581 is 1.

Therefore, GCD of numbers 346, 648, 12, 581 is 1

Given Input Data is 346, 648, 12, 581

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 581 is 7 x 83

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(346, 648) = 112104

GCD(346, 648) = ( 346 x 648 ) / 112104

GCD(346, 648) = 224208 / 112104

GCD(346, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 581

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

LCM(2, 581) = 1162

GCD(2, 581) = ( 2 x 581 ) / 1162

GCD(2, 581) = 1162 / 1162

GCD(2, 581) = 1

GCD of 346, 648, 12, 581 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 529, 19, 635
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• GCD of 341, 262, 74, 173

1. What is the GCD of 346, 648, 12, 581?

GCD of 346, 648, 12, 581 is 1

2. Where do I get the detailed procedure to find GCD of 346, 648, 12, 581?

You can find a detailed procedure to find GCD of 346, 648, 12, 581 on our page.

3. How to find GCD of 346, 648, 12, 581 on a calculator?

You can find the GCD of 346, 648, 12, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.