GCD of 456, 445, 12, 654 Calculator

Given Input numbers are 456, 445, 12, 654

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 456, 445, 12, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 445, 12, 654 is 1.

Therefore, GCD of numbers 456, 445, 12, 654 is 1

Given Input Data is 456, 445, 12, 654

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 445 is 5 x 89

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 654 is 2 x 3 x 109

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(456, 445) = 202920

GCD(456, 445) = ( 456 x 445 ) / 202920

GCD(456, 445) = 202920 / 202920

GCD(456, 445) = 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 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 456, 445, 12, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 806, 61, 967
• GCD of 238, 860, 41, 400
• GCD of 338, 714, 12, 265
• GCD of 584, 692, 14, 160
• GCD of 570, 321, 85, 285

1. What is the GCD of 456, 445, 12, 654?

GCD of 456, 445, 12, 654 is 1

2. Where do I get the detailed procedure to find GCD of 456, 445, 12, 654?

You can find a detailed procedure to find GCD of 456, 445, 12, 654 on our page.

3. How to find GCD of 456, 445, 12, 654 on a calculator?

You can find the GCD of 456, 445, 12, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.