GCD of 432, 360, 68, 845 Calculator

Given Input numbers are 432, 360, 68, 845

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 432, 360, 68, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 360, 68, 845 is 1.

Therefore, GCD of numbers 432, 360, 68, 845 is 1

Given Input Data is 432, 360, 68, 845

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 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 845 is 5 x 13 x 13

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, 360) = 2160

GCD(432, 360) = ( 432 x 360 ) / 2160

GCD(432, 360) = 155520 / 2160

GCD(432, 360) = 72

Step2:

Here we consider the GCD from the above i.e. 72 as first number and the next as 68

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

LCM(72, 68) = 1224

GCD(72, 68) = ( 72 x 68 ) / 1224

GCD(72, 68) = 4896 / 1224

GCD(72, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 845

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

LCM(4, 845) = 3380

GCD(4, 845) = ( 4 x 845 ) / 3380

GCD(4, 845) = 3380 / 3380

GCD(4, 845) = 1

GCD of 432, 360, 68, 845 is 1

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1. What is the GCD of 432, 360, 68, 845?

GCD of 432, 360, 68, 845 is 1

2. Where do I get the detailed procedure to find GCD of 432, 360, 68, 845?

You can find a detailed procedure to find GCD of 432, 360, 68, 845 on our page.

3. How to find GCD of 432, 360, 68, 845 on a calculator?

You can find the GCD of 432, 360, 68, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.