GCD of 455, 232, 12, 642 Calculator

Given Input numbers are 455, 232, 12, 642

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 455, 232, 12, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 232, 12, 642 is 1.

Therefore, GCD of numbers 455, 232, 12, 642 is 1

Given Input Data is 455, 232, 12, 642

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 642 is 2 x 3 x 107

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(455, 232) = 105560

GCD(455, 232) = ( 455 x 232 ) / 105560

GCD(455, 232) = 105560 / 105560

GCD(455, 232) = 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 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 455, 232, 12, 642 is 1

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1. What is the GCD of 455, 232, 12, 642?

GCD of 455, 232, 12, 642 is 1

2. Where do I get the detailed procedure to find GCD of 455, 232, 12, 642?

You can find a detailed procedure to find GCD of 455, 232, 12, 642 on our page.

3. How to find GCD of 455, 232, 12, 642 on a calculator?

You can find the GCD of 455, 232, 12, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.