GCD of 816, 217, 33, 736 Calculator

Given Input numbers are 816, 217, 33, 736

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 816, 217, 33, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 217, 33, 736 is 1.

Therefore, GCD of numbers 816, 217, 33, 736 is 1

Given Input Data is 816, 217, 33, 736

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 217 is 7 x 31

Prime Factorization of 33 is 3 x 11

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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, 217) = 177072

GCD(816, 217) = ( 816 x 217 ) / 177072

GCD(816, 217) = 177072 / 177072

GCD(816, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 816, 217, 33, 736 is 1

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1. What is the GCD of 816, 217, 33, 736?

GCD of 816, 217, 33, 736 is 1

2. Where do I get the detailed procedure to find GCD of 816, 217, 33, 736?

You can find a detailed procedure to find GCD of 816, 217, 33, 736 on our page.

3. How to find GCD of 816, 217, 33, 736 on a calculator?

You can find the GCD of 816, 217, 33, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.