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GCD of 230, 492, 365, 713 Calculator

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


Online GCD Calculator is useful to find the GCD of 230, 492, 365, 713 quickly. Get the easiest ways to solve the greatest common divisor of 230, 492, 365, 713 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 230, 492, 365, 713 with Factoring?

Given Input numbers are 230, 492, 365, 713

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713


GCD of numbers is the greatest common divisor

So, the GCD (230, 492, 365, 713) = 1.

Find GCD of 230, 492, 365, 713 using Prime Factorization

Given numbers are 230, 492, 365, 713

The list of prime factors of all numbers are

Prime factors of 230 are 2 x 5 x 23

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 365 are 5 x 73

Prime factors of 713 are 23 x 31

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

Steps to Calculate GCD of 230, 492, 365, 713 using LCM Formula

Given numbers are 230, 492, 365, 713

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

Apply this formula for all numbers.

Step1:

LCM(230, 492) = 56580

GCD(230, 492) = ( 230 x 492 ) / 56580

= 230 / 492

= 230


Step2:

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

= 2 / 365

= 2


Step3:

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

= 1 / 713

= 1


So, Greatest Common Divisor of 230, 492, 365, 713 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 230, 492, 365, 713

Given numbers are 230, 492, 365, 713
The greatest common divisor of numbers 230, 492, 365, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 492, 365, 713 is 1.

FAQs on GCD of 230, 492, 365, 713 Calculator

1. What is the GCD of 230, 492, 365, 713?

GCD of given numbers 230, 492, 365, 713 is 1


2. How to calculate the greatest common divisor of 230, 492, 365, 713?

We can find the highest common divisor of 230, 492, 365, 713 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 230, 492, 365, 713 i.e 1.


3. How can I use the GCD of 230, 492, 365, 713Calculator?

Out the numbers 230, 492, 365, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.