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GCD of 509, 495, 728, 443 Calculator

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


Online GCD Calculator is useful to find the GCD of 509, 495, 728, 443 quickly. Get the easiest ways to solve the greatest common divisor of 509, 495, 728, 443 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 509, 495, 728, 443 with Factoring?

Given Input numbers are 509, 495, 728, 443

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 443 :

The positive integer divisors of 443 that completely divides 443 are.

1, 443


GCD of numbers is the greatest common divisor

So, the GCD (509, 495, 728, 443) = 1.

Find GCD of 509, 495, 728, 443 using Prime Factorization

Given numbers are 509, 495, 728, 443

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 443 are 443

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

Steps to Calculate GCD of 509, 495, 728, 443 using LCM Formula

Given numbers are 509, 495, 728, 443

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

Apply this formula for all numbers.

Step1:

LCM(509, 495) = 251955

GCD(509, 495) = ( 509 x 495 ) / 251955

= 509 / 495

= 509


Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1


Step3:

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

= 1 / 443

= 1


So, Greatest Common Divisor of 509, 495, 728, 443 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 509, 495, 728, 443

Given numbers are 509, 495, 728, 443
The greatest common divisor of numbers 509, 495, 728, 443 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 495, 728, 443 is 1.

FAQs on GCD of 509, 495, 728, 443 Calculator

1. What is the GCD of 509, 495, 728, 443?

GCD of given numbers 509, 495, 728, 443 is 1


2. How to calculate the greatest common divisor of 509, 495, 728, 443?

We can find the highest common divisor of 509, 495, 728, 443 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 509, 495, 728, 443 i.e 1.


3. How can I use the GCD of 509, 495, 728, 443Calculator?

Out the numbers 509, 495, 728, 443 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.