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GCD of 504, 552, 559, 798 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 504, 552, 559, 798 quickly. Get the easiest ways to solve the greatest common divisor of 504, 552, 559, 798 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 504, 552, 559, 798 with Factoring?

Given Input numbers are 504, 552, 559, 798

In the factoring method, we have to find the divisors of all numbers

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798


GCD of numbers is the greatest common divisor

So, the GCD (504, 552, 559, 798) = 1.

Find GCD of 504, 552, 559, 798 using Prime Factorization

Given numbers are 504, 552, 559, 798

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 559 are 13 x 43

Prime factors of 798 are 2 x 3 x 7 x 19

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

Steps to Calculate GCD of 504, 552, 559, 798 using LCM Formula

Given numbers are 504, 552, 559, 798

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(504, 552) = 11592

GCD(504, 552) = ( 504 x 552 ) / 11592

= 504 / 552

= 504


Step2:

LCM(24, 559) = 13416

GCD(24, 559) = ( 24 x 559 ) / 13416

= 24 / 559

= 24


Step3:

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

= 1 / 798

= 1


So, Greatest Common Divisor of 504, 552, 559, 798 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 552, 559, 798

Given numbers are 504, 552, 559, 798
The greatest common divisor of numbers 504, 552, 559, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 552, 559, 798 is 1.

FAQs on GCD of 504, 552, 559, 798 Calculator

1. What is the GCD of 504, 552, 559, 798?

GCD of given numbers 504, 552, 559, 798 is 1


2. How to calculate the greatest common divisor of 504, 552, 559, 798?

We can find the highest common divisor of 504, 552, 559, 798 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 504, 552, 559, 798 i.e 1.


3. How can I use the GCD of 504, 552, 559, 798Calculator?

Out the numbers 504, 552, 559, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.