GCD of 522, 133, 627, 782 Calculator

Given Input numbers are 522, 133, 627, 782

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 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 522, 133, 627, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 133, 627, 782 is 1.

Therefore, GCD of numbers 522, 133, 627, 782 is 1

Given Input Data is 522, 133, 627, 782

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 133 is 7 x 19

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 782 is 2 x 17 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, 133) = 69426

GCD(522, 133) = ( 522 x 133 ) / 69426

GCD(522, 133) = 69426 / 69426

GCD(522, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 522, 133, 627, 782 is 1

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1. What is the GCD of 522, 133, 627, 782?

GCD of 522, 133, 627, 782 is 1

2. Where do I get the detailed procedure to find GCD of 522, 133, 627, 782?

You can find a detailed procedure to find GCD of 522, 133, 627, 782 on our page.

3. How to find GCD of 522, 133, 627, 782 on a calculator?

You can find the GCD of 522, 133, 627, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.