LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 728, 470, 753, 532 Calculator

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


Online GCD Calculator is useful to find the GCD of 728, 470, 753, 532 quickly. Get the easiest ways to solve the greatest common divisor of 728, 470, 753, 532 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 728, 470, 753, 532 with Factoring?

Given Input numbers are 728, 470, 753, 532

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

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532


GCD of numbers is the greatest common divisor

So, the GCD (728, 470, 753, 532) = 1.

Find GCD of 728, 470, 753, 532 using Prime Factorization

Given numbers are 728, 470, 753, 532

The list of prime factors of all numbers are

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 753 are 3 x 251

Prime factors of 532 are 2 x 2 x 7 x 19

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

Steps to Calculate GCD of 728, 470, 753, 532 using LCM Formula

Given numbers are 728, 470, 753, 532

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

Apply this formula for all numbers.

Step1:

LCM(728, 470) = 171080

GCD(728, 470) = ( 728 x 470 ) / 171080

= 728 / 470

= 728


Step2:

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

= 2 / 753

= 2


Step3:

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

= 1 / 532

= 1


So, Greatest Common Divisor of 728, 470, 753, 532 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 728, 470, 753, 532

Given numbers are 728, 470, 753, 532
The greatest common divisor of numbers 728, 470, 753, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 470, 753, 532 is 1.

FAQs on GCD of 728, 470, 753, 532 Calculator

1. What is the GCD of 728, 470, 753, 532?

GCD of given numbers 728, 470, 753, 532 is 1


2. How to calculate the greatest common divisor of 728, 470, 753, 532?

We can find the highest common divisor of 728, 470, 753, 532 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 728, 470, 753, 532 i.e 1.


3. How can I use the GCD of 728, 470, 753, 532Calculator?

Out the numbers 728, 470, 753, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.