GCD of 504, 494, 779, 350 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, 494, 779, 350 i.e. 1 largest integer that divides all the numbers equally.

GCD of 504, 494, 779, 350 is 1

GCD(504, 494, 779, 350) = 1

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

GCD of

GCD of numbers 504, 494, 779, 350 is 1

GCD(504, 494, 779, 350) = 1

GCD of 504,494,779,350 Calculator

GCDof 504,494,779,350 is 1

Given Input numbers are 504, 494, 779, 350

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 504, 494, 779, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 494, 779, 350 is 1.

Therefore, GCD of numbers 504, 494, 779, 350 is 1

Finding GCD of 504, 494, 779, 350 using Prime Factorization

Given Input Data is 504, 494, 779, 350

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 494 is 2 x 13 x 19

Prime Factorization of 779 is 19 x 41

Prime Factorization of 350 is 2 x 5 x 5 x 7

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

Finding GCD of 504, 494, 779, 350 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, 494) = 124488

GCD(504, 494) = ( 504 x 494 ) / 124488

GCD(504, 494) = 248976 / 124488

GCD(504, 494) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 504, 494, 779, 350 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 504, 494, 779, 350

1. What is the GCD of 504, 494, 779, 350?

GCD of 504, 494, 779, 350 is 1


2. Where do I get the detailed procedure to find GCD of 504, 494, 779, 350?

You can find a detailed procedure to find GCD of 504, 494, 779, 350 on our page.


3. How to find GCD of 504, 494, 779, 350 on a calculator?

You can find the GCD of 504, 494, 779, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.