GCD of 363, 991, 522, 772 Calculator

Given Input numbers are 363, 991, 522, 772

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 363, 991, 522, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 991, 522, 772 is 1.

Therefore, GCD of numbers 363, 991, 522, 772 is 1

Given Input Data is 363, 991, 522, 772

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 991 is 991

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

Prime Factorization of 772 is 2 x 2 x 193

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(363, 991) = 359733

GCD(363, 991) = ( 363 x 991 ) / 359733

GCD(363, 991) = 359733 / 359733

GCD(363, 991) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 363, 991, 522, 772 is 1

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1. What is the GCD of 363, 991, 522, 772?

GCD of 363, 991, 522, 772 is 1

2. Where do I get the detailed procedure to find GCD of 363, 991, 522, 772?

You can find a detailed procedure to find GCD of 363, 991, 522, 772 on our page.

3. How to find GCD of 363, 991, 522, 772 on a calculator?

You can find the GCD of 363, 991, 522, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.