GCD of 382, 528, 26, 826 Calculator

Given Input numbers are 382, 528, 26, 826

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 382, 528, 26, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 528, 26, 826 is 2.

Therefore, GCD of numbers 382, 528, 26, 826 is 2

Given Input Data is 382, 528, 26, 826

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 26 is 2 x 13

Prime Factorization of 826 is 2 x 7 x 59

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(382, 528) = 100848

GCD(382, 528) = ( 382 x 528 ) / 100848

GCD(382, 528) = 201696 / 100848

GCD(382, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

GCD of 382, 528, 26, 826 is 2

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1. What is the GCD of 382, 528, 26, 826?

GCD of 382, 528, 26, 826 is 2

2. Where do I get the detailed procedure to find GCD of 382, 528, 26, 826?

You can find a detailed procedure to find GCD of 382, 528, 26, 826 on our page.

3. How to find GCD of 382, 528, 26, 826 on a calculator?

You can find the GCD of 382, 528, 26, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.