GCD of 816, 130, 922, 264 Calculator

Given Input numbers are 816, 130, 922, 264

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 816, 130, 922, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 130, 922, 264 is 2.

Therefore, GCD of numbers 816, 130, 922, 264 is 2

Given Input Data is 816, 130, 922, 264

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 130 is 2 x 5 x 13

Prime Factorization of 922 is 2 x 461

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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, 130) = 53040

GCD(816, 130) = ( 816 x 130 ) / 53040

GCD(816, 130) = 106080 / 53040

GCD(816, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 922

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

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

GCD(2, 922) = 1844 / 922

GCD(2, 922) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 816, 130, 922, 264 is 2

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1. What is the GCD of 816, 130, 922, 264?

GCD of 816, 130, 922, 264 is 2

2. Where do I get the detailed procedure to find GCD of 816, 130, 922, 264?

You can find a detailed procedure to find GCD of 816, 130, 922, 264 on our page.

3. How to find GCD of 816, 130, 922, 264 on a calculator?

You can find the GCD of 816, 130, 922, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.