GCD of 526, 836, 116, 806 Calculator

Given Input numbers are 526, 836, 116, 806

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

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 526, 836, 116, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 836, 116, 806 is 2.

Therefore, GCD of numbers 526, 836, 116, 806 is 2

Given Input Data is 526, 836, 116, 806

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 806 is 2 x 13 x 31

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(526, 836) = 219868

GCD(526, 836) = ( 526 x 836 ) / 219868

GCD(526, 836) = 439736 / 219868

GCD(526, 836) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

GCD of 526, 836, 116, 806 is 2

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1. What is the GCD of 526, 836, 116, 806?

GCD of 526, 836, 116, 806 is 2

2. Where do I get the detailed procedure to find GCD of 526, 836, 116, 806?

You can find a detailed procedure to find GCD of 526, 836, 116, 806 on our page.

3. How to find GCD of 526, 836, 116, 806 on a calculator?

You can find the GCD of 526, 836, 116, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.