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GCD of 720, 893, 404, 728 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 893, 404, 728 quickly. Get the easiest ways to solve the greatest common divisor of 720, 893, 404, 728 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 893, 404, 728 with Factoring?

Given Input numbers are 720, 893, 404, 728

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 893 :

The positive integer divisors of 893 that completely divides 893 are.

1, 19, 47, 893

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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


GCD of numbers is the greatest common divisor

So, the GCD (720, 893, 404, 728) = 1.

Find GCD of 720, 893, 404, 728 using Prime Factorization

Given numbers are 720, 893, 404, 728

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 893 are 19 x 47

Prime factors of 404 are 2 x 2 x 101

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

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

Steps to Calculate GCD of 720, 893, 404, 728 using LCM Formula

Given numbers are 720, 893, 404, 728

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

Apply this formula for all numbers.

Step1:

LCM(720, 893) = 642960

GCD(720, 893) = ( 720 x 893 ) / 642960

= 720 / 893

= 720


Step2:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1


Step3:

LCM(1, 728) = 728

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

= 1 / 728

= 1


So, Greatest Common Divisor of 720, 893, 404, 728 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 893, 404, 728

Given numbers are 720, 893, 404, 728
The greatest common divisor of numbers 720, 893, 404, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 893, 404, 728 is 1.

FAQs on GCD of 720, 893, 404, 728 Calculator

1. What is the GCD of 720, 893, 404, 728?

GCD of given numbers 720, 893, 404, 728 is 1


2. How to calculate the greatest common divisor of 720, 893, 404, 728?

We can find the highest common divisor of 720, 893, 404, 728 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 720, 893, 404, 728 i.e 1.


3. How can I use the GCD of 720, 893, 404, 728Calculator?

Out the numbers 720, 893, 404, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.