GCD of 522, 816, 185, 253 Calculator

Given Input numbers are 522, 816, 185, 253

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

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

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 522, 816, 185, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 816, 185, 253 is 1.

Therefore, GCD of numbers 522, 816, 185, 253 is 1

Given Input Data is 522, 816, 185, 253

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

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 185 is 5 x 37

Prime Factorization of 253 is 11 x 23

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(522, 816) = 70992

GCD(522, 816) = ( 522 x 816 ) / 70992

GCD(522, 816) = 425952 / 70992

GCD(522, 816) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 185

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

LCM(6, 185) = 1110

GCD(6, 185) = ( 6 x 185 ) / 1110

GCD(6, 185) = 1110 / 1110

GCD(6, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 522, 816, 185, 253 is 1

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1. What is the GCD of 522, 816, 185, 253?

GCD of 522, 816, 185, 253 is 1

2. Where do I get the detailed procedure to find GCD of 522, 816, 185, 253?

You can find a detailed procedure to find GCD of 522, 816, 185, 253 on our page.

3. How to find GCD of 522, 816, 185, 253 on a calculator?

You can find the GCD of 522, 816, 185, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.