GCD of 363, 621, 78, 669 Calculator

Given Input numbers are 363, 621, 78, 669

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 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 363, 621, 78, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 621, 78, 669 is 3.

Therefore, GCD of numbers 363, 621, 78, 669 is 3

Given Input Data is 363, 621, 78, 669

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 621 is 3 x 3 x 3 x 23

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 669 is 3 x 223

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 621) = 75141

GCD(363, 621) = ( 363 x 621 ) / 75141

GCD(363, 621) = 225423 / 75141

GCD(363, 621) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 669

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

LCM(3, 669) = 669

GCD(3, 669) = ( 3 x 669 ) / 669

GCD(3, 669) = 2007 / 669

GCD(3, 669) = 3

GCD of 363, 621, 78, 669 is 3

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1. What is the GCD of 363, 621, 78, 669?

GCD of 363, 621, 78, 669 is 3

2. Where do I get the detailed procedure to find GCD of 363, 621, 78, 669?

You can find a detailed procedure to find GCD of 363, 621, 78, 669 on our page.

3. How to find GCD of 363, 621, 78, 669 on a calculator?

You can find the GCD of 363, 621, 78, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.