GCD of 432, 214, 65, 643 Calculator

Given Input numbers are 432, 214, 65, 643

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 432, 214, 65, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 214, 65, 643 is 1.

Therefore, GCD of numbers 432, 214, 65, 643 is 1

Given Input Data is 432, 214, 65, 643

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 214 is 2 x 107

Prime Factorization of 65 is 5 x 13

Prime Factorization of 643 is 643

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(432, 214) = 46224

GCD(432, 214) = ( 432 x 214 ) / 46224

GCD(432, 214) = 92448 / 46224

GCD(432, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 432, 214, 65, 643 is 1

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1. What is the GCD of 432, 214, 65, 643?

GCD of 432, 214, 65, 643 is 1

2. Where do I get the detailed procedure to find GCD of 432, 214, 65, 643?

You can find a detailed procedure to find GCD of 432, 214, 65, 643 on our page.

3. How to find GCD of 432, 214, 65, 643 on a calculator?

You can find the GCD of 432, 214, 65, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.