GCD of 524, 408, 963, 363 Calculator

Given Input numbers are 524, 408, 963, 363

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

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 524, 408, 963, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 408, 963, 363 is 1.

Therefore, GCD of numbers 524, 408, 963, 363 is 1

Given Input Data is 524, 408, 963, 363

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 963 is 3 x 3 x 107

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(524, 408) = 53448

GCD(524, 408) = ( 524 x 408 ) / 53448

GCD(524, 408) = 213792 / 53448

GCD(524, 408) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 963

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

LCM(4, 963) = 3852

GCD(4, 963) = ( 4 x 963 ) / 3852

GCD(4, 963) = 3852 / 3852

GCD(4, 963) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 524, 408, 963, 363 is 1

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1. What is the GCD of 524, 408, 963, 363?

GCD of 524, 408, 963, 363 is 1

2. Where do I get the detailed procedure to find GCD of 524, 408, 963, 363?

You can find a detailed procedure to find GCD of 524, 408, 963, 363 on our page.

3. How to find GCD of 524, 408, 963, 363 on a calculator?

You can find the GCD of 524, 408, 963, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.