GCD of 292, 964, 522, 363 Calculator

Given Input numbers are 292, 964, 522, 363

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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 363

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

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 292, 964, 522, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 964, 522, 363 is 1.

Therefore, GCD of numbers 292, 964, 522, 363 is 1

Given Input Data is 292, 964, 522, 363

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 964 is 2 x 2 x 241

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

Prime Factorization of 363 is 3 x 11 x 11

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(292, 964) = 70372

GCD(292, 964) = ( 292 x 964 ) / 70372

GCD(292, 964) = 281488 / 70372

GCD(292, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 522

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

LCM(4, 522) = 1044

GCD(4, 522) = ( 4 x 522 ) / 1044

GCD(4, 522) = 2088 / 1044

GCD(4, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

GCD of 292, 964, 522, 363 is 1

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1. What is the GCD of 292, 964, 522, 363?

GCD of 292, 964, 522, 363 is 1

2. Where do I get the detailed procedure to find GCD of 292, 964, 522, 363?

You can find a detailed procedure to find GCD of 292, 964, 522, 363 on our page.

3. How to find GCD of 292, 964, 522, 363 on a calculator?

You can find the GCD of 292, 964, 522, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.