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GCD of 576, 504, 660, 463 Calculator

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


Online GCD Calculator is useful to find the GCD of 576, 504, 660, 463 quickly. Get the easiest ways to solve the greatest common divisor of 576, 504, 660, 463 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 576, 504, 660, 463 with Factoring?

Given Input numbers are 576, 504, 660, 463

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463


GCD of numbers is the greatest common divisor

So, the GCD (576, 504, 660, 463) = 1.

Find GCD of 576, 504, 660, 463 using Prime Factorization

Given numbers are 576, 504, 660, 463

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 463 are 463

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

Steps to Calculate GCD of 576, 504, 660, 463 using LCM Formula

Given numbers are 576, 504, 660, 463

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

Apply this formula for all numbers.

Step1:

LCM(576, 504) = 4032

GCD(576, 504) = ( 576 x 504 ) / 4032

= 576 / 504

= 576


Step2:

LCM(72, 660) = 3960

GCD(72, 660) = ( 72 x 660 ) / 3960

= 72 / 660

= 72


Step3:

LCM(12, 463) = 5556

GCD(12, 463) = ( 12 x 463 ) / 5556

= 12 / 463

= 12


So, Greatest Common Divisor of 576, 504, 660, 463 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 576, 504, 660, 463

Given numbers are 576, 504, 660, 463
The greatest common divisor of numbers 576, 504, 660, 463 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 504, 660, 463 is 1.

FAQs on GCD of 576, 504, 660, 463 Calculator

1. What is the GCD of 576, 504, 660, 463?

GCD of given numbers 576, 504, 660, 463 is 1


2. How to calculate the greatest common divisor of 576, 504, 660, 463?

We can find the highest common divisor of 576, 504, 660, 463 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 576, 504, 660, 463 i.e 1.


3. How can I use the GCD of 576, 504, 660, 463Calculator?

Out the numbers 576, 504, 660, 463 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.