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GCD of 713, 721, 489, 253 Calculator

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


Online GCD Calculator is useful to find the GCD of 713, 721, 489, 253 quickly. Get the easiest ways to solve the greatest common divisor of 713, 721, 489, 253 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 713, 721, 489, 253 with Factoring?

Given Input numbers are 713, 721, 489, 253

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

Divisors of 713 :

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

1, 23, 31, 713

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253


GCD of numbers is the greatest common divisor

So, the GCD (713, 721, 489, 253) = 1.

Find GCD of 713, 721, 489, 253 using Prime Factorization

Given numbers are 713, 721, 489, 253

The list of prime factors of all numbers are

Prime factors of 713 are 23 x 31

Prime factors of 721 are 7 x 103

Prime factors of 489 are 3 x 163

Prime factors of 253 are 11 x 23

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

Steps to Calculate GCD of 713, 721, 489, 253 using LCM Formula

Given numbers are 713, 721, 489, 253

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

Apply this formula for all numbers.

Step1:

LCM(713, 721) = 514073

GCD(713, 721) = ( 713 x 721 ) / 514073

= 713 / 721

= 713


Step2:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1


Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1


So, Greatest Common Divisor of 713, 721, 489, 253 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 713, 721, 489, 253

Given numbers are 713, 721, 489, 253
The greatest common divisor of numbers 713, 721, 489, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 721, 489, 253 is 1.

FAQs on GCD of 713, 721, 489, 253 Calculator

1. What is the GCD of 713, 721, 489, 253?

GCD of given numbers 713, 721, 489, 253 is 1


2. How to calculate the greatest common divisor of 713, 721, 489, 253?

We can find the highest common divisor of 713, 721, 489, 253 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 713, 721, 489, 253 i.e 1.


3. How can I use the GCD of 713, 721, 489, 253Calculator?

Out the numbers 713, 721, 489, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.