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GCD of 723, 320, 638, 663 Calculator

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


Online GCD Calculator is useful to find the GCD of 723, 320, 638, 663 quickly. Get the easiest ways to solve the greatest common divisor of 723, 320, 638, 663 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 723, 320, 638, 663 with Factoring?

Given Input numbers are 723, 320, 638, 663

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663


GCD of numbers is the greatest common divisor

So, the GCD (723, 320, 638, 663) = 1.

Find GCD of 723, 320, 638, 663 using Prime Factorization

Given numbers are 723, 320, 638, 663

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 638 are 2 x 11 x 29

Prime factors of 663 are 3 x 13 x 17

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

Steps to Calculate GCD of 723, 320, 638, 663 using LCM Formula

Given numbers are 723, 320, 638, 663

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

Apply this formula for all numbers.

Step1:

LCM(723, 320) = 231360

GCD(723, 320) = ( 723 x 320 ) / 231360

= 723 / 320

= 723


Step2:

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

= 1 / 638

= 1


Step3:

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

= 1 / 663

= 1


So, Greatest Common Divisor of 723, 320, 638, 663 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 723, 320, 638, 663

Given numbers are 723, 320, 638, 663
The greatest common divisor of numbers 723, 320, 638, 663 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 320, 638, 663 is 1.

FAQs on GCD of 723, 320, 638, 663 Calculator

1. What is the GCD of 723, 320, 638, 663?

GCD of given numbers 723, 320, 638, 663 is 1


2. How to calculate the greatest common divisor of 723, 320, 638, 663?

We can find the highest common divisor of 723, 320, 638, 663 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 723, 320, 638, 663 i.e 1.


3. How can I use the GCD of 723, 320, 638, 663Calculator?

Out the numbers 723, 320, 638, 663 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.