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GCD of 522, 730, 731 Calculator

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


Online GCD Calculator is useful to find the GCD of 522, 730, 731 quickly. Get the easiest ways to solve the greatest common divisor of 522, 730, 731 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 522, 730, 731 with Factoring?

Given Input numbers are 522, 730, 731

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731


GCD of numbers is the greatest common divisor

So, the GCD (522, 730, 731) = 1.

Find GCD of 522, 730, 731 using Prime Factorization

Given numbers are 522, 730, 731

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 730 are 2 x 5 x 73

Prime factors of 731 are 17 x 43

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

Steps to Calculate GCD of 522, 730, 731 using LCM Formula

Given numbers are 522, 730, 731

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

Apply this formula for all numbers.

Step1:

LCM(522, 730) = 190530

GCD(522, 730) = ( 522 x 730 ) / 190530

= 522 / 730

= 522


Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2


So, Greatest Common Divisor of 522, 730, 731 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 522, 730, 731

Given numbers are 522, 730, 731
The greatest common divisor of numbers 522, 730, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 730, 731 is 1.

FAQs on GCD of 522, 730, 731 Calculator

1. What is the GCD of 522, 730, 731?

GCD of given numbers 522, 730, 731 is 1


2. How to calculate the greatest common divisor of 522, 730, 731?

We can find the highest common divisor of 522, 730, 731 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 522, 730, 731 i.e 1.


3. How can I use the GCD of 522, 730, 731Calculator?

Out the numbers 522, 730, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.