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GCD of 313, 723, 83 Calculator

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


Online GCD Calculator is useful to find the GCD of 313, 723, 83 quickly. Get the easiest ways to solve the greatest common divisor of 313, 723, 83 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 313, 723, 83 with Factoring?

Given Input numbers are 313, 723, 83

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83


GCD of numbers is the greatest common divisor

So, the GCD (313, 723, 83) = 1.

Find GCD of 313, 723, 83 using Prime Factorization

Given numbers are 313, 723, 83

The list of prime factors of all numbers are

Prime factors of 313 are 313

Prime factors of 723 are 3 x 241

Prime factors of 83 are 83

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

Steps to Calculate GCD of 313, 723, 83 using LCM Formula

Given numbers are 313, 723, 83

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

Apply this formula for all numbers.

Step1:

LCM(313, 723) = 226299

GCD(313, 723) = ( 313 x 723 ) / 226299

= 313 / 723

= 313


Step2:

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

= 1 / 83

= 1


So, Greatest Common Divisor of 313, 723, 83 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 313, 723, 83

Given numbers are 313, 723, 83
The greatest common divisor of numbers 313, 723, 83 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 723, 83 is 1.

FAQs on GCD of 313, 723, 83 Calculator

1. What is the GCD of 313, 723, 83?

GCD of given numbers 313, 723, 83 is 1


2. How to calculate the greatest common divisor of 313, 723, 83?

We can find the highest common divisor of 313, 723, 83 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 313, 723, 83 i.e 1.


3. How can I use the GCD of 313, 723, 83Calculator?

Out the numbers 313, 723, 83 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.