GCD of 504, 604, 78, 655 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 504, 604, 78, 655 i.e. 1 largest integer that divides all the numbers equally.

GCD of 504, 604, 78, 655 is 1

GCD(504, 604, 78, 655) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 504, 604, 78, 655 is 1

GCD(504, 604, 78, 655) = 1

GCD of 504,604,78,655 Calculator

GCDof 504,604,78,655 is 1

Given Input numbers are 504, 604, 78, 655

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

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 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 504, 604, 78, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 604, 78, 655 is 1.

Therefore, GCD of numbers 504, 604, 78, 655 is 1

Finding GCD of 504, 604, 78, 655 using Prime Factorization

Given Input Data is 504, 604, 78, 655

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 655 is 5 x 131

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 504, 604, 78, 655 using LCM Formula

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(504, 604) = 76104

GCD(504, 604) = ( 504 x 604 ) / 76104

GCD(504, 604) = 304416 / 76104

GCD(504, 604) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 655

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

LCM(2, 655) = 1310

GCD(2, 655) = ( 2 x 655 ) / 1310

GCD(2, 655) = 1310 / 1310

GCD(2, 655) = 1

GCD of 504, 604, 78, 655 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 504, 604, 78, 655

1. What is the GCD of 504, 604, 78, 655?

GCD of 504, 604, 78, 655 is 1


2. Where do I get the detailed procedure to find GCD of 504, 604, 78, 655?

You can find a detailed procedure to find GCD of 504, 604, 78, 655 on our page.


3. How to find GCD of 504, 604, 78, 655 on a calculator?

You can find the GCD of 504, 604, 78, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.