GCD of 824, 238, 41, 522 Calculator

Given Input numbers are 824, 238, 41, 522

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 824, 238, 41, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 238, 41, 522 is 1.

Therefore, GCD of numbers 824, 238, 41, 522 is 1

Given Input Data is 824, 238, 41, 522

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 41 is 41

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(824, 238) = 98056

GCD(824, 238) = ( 824 x 238 ) / 98056

GCD(824, 238) = 196112 / 98056

GCD(824, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 824, 238, 41, 522 is 1

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• GCD of 128, 825, 62, 623
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1. What is the GCD of 824, 238, 41, 522?

GCD of 824, 238, 41, 522 is 1

2. Where do I get the detailed procedure to find GCD of 824, 238, 41, 522?

You can find a detailed procedure to find GCD of 824, 238, 41, 522 on our page.

3. How to find GCD of 824, 238, 41, 522 on a calculator?

You can find the GCD of 824, 238, 41, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.