GCD of 816, 302, 266, 842 Calculator

Given Input numbers are 816, 302, 266, 842

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 816, 302, 266, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 302, 266, 842 is 2.

Therefore, GCD of numbers 816, 302, 266, 842 is 2

Given Input Data is 816, 302, 266, 842

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 302 is 2 x 151

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 842 is 2 x 421

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 302) = 123216

GCD(816, 302) = ( 816 x 302 ) / 123216

GCD(816, 302) = 246432 / 123216

GCD(816, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

GCD of 816, 302, 266, 842 is 2

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1. What is the GCD of 816, 302, 266, 842?

GCD of 816, 302, 266, 842 is 2

2. Where do I get the detailed procedure to find GCD of 816, 302, 266, 842?

You can find a detailed procedure to find GCD of 816, 302, 266, 842 on our page.

3. How to find GCD of 816, 302, 266, 842 on a calculator?

You can find the GCD of 816, 302, 266, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.