GCD of 816, 432, 367, 967 Calculator

Given Input numbers are 816, 432, 367, 967

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 816, 432, 367, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 432, 367, 967 is 1.

Therefore, GCD of numbers 816, 432, 367, 967 is 1

Given Input Data is 816, 432, 367, 967

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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

Prime Factorization of 367 is 367

Prime Factorization of 967 is 967

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(816, 432) = 7344

GCD(816, 432) = ( 816 x 432 ) / 7344

GCD(816, 432) = 352512 / 7344

GCD(816, 432) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 367

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

LCM(48, 367) = 17616

GCD(48, 367) = ( 48 x 367 ) / 17616

GCD(48, 367) = 17616 / 17616

GCD(48, 367) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 816, 432, 367, 967 is 1

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1. What is the GCD of 816, 432, 367, 967?

GCD of 816, 432, 367, 967 is 1

2. Where do I get the detailed procedure to find GCD of 816, 432, 367, 967?

You can find a detailed procedure to find GCD of 816, 432, 367, 967 on our page.

3. How to find GCD of 816, 432, 367, 967 on a calculator?

You can find the GCD of 816, 432, 367, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.