GCD of 504, 829, 61, 367 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, 829, 61, 367 i.e. 1 largest integer that divides all the numbers equally.

GCD of 504, 829, 61, 367 is 1

GCD(504, 829, 61, 367) = 1

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

GCD of

GCD of numbers 504, 829, 61, 367 is 1

GCD(504, 829, 61, 367) = 1

GCD of 504,829,61,367 Calculator

GCDof 504,829,61,367 is 1

Given Input numbers are 504, 829, 61, 367

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 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 504, 829, 61, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 829, 61, 367 is 1.

Therefore, GCD of numbers 504, 829, 61, 367 is 1

Finding GCD of 504, 829, 61, 367 using Prime Factorization

Given Input Data is 504, 829, 61, 367

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 829 is 829

Prime Factorization of 61 is 61

Prime Factorization of 367 is 367

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

Finding GCD of 504, 829, 61, 367 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, 829) = 417816

GCD(504, 829) = ( 504 x 829 ) / 417816

GCD(504, 829) = 417816 / 417816

GCD(504, 829) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 504, 829, 61, 367 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 504, 829, 61, 367

1. What is the GCD of 504, 829, 61, 367?

GCD of 504, 829, 61, 367 is 1


2. Where do I get the detailed procedure to find GCD of 504, 829, 61, 367?

You can find a detailed procedure to find GCD of 504, 829, 61, 367 on our page.


3. How to find GCD of 504, 829, 61, 367 on a calculator?

You can find the GCD of 504, 829, 61, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.