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GCD of 493, 463, 313, 333 Calculator

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


Online GCD Calculator is useful to find the GCD of 493, 463, 313, 333 quickly. Get the easiest ways to solve the greatest common divisor of 493, 463, 313, 333 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 493, 463, 313, 333 with Factoring?

Given Input numbers are 493, 463, 313, 333

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

Divisors of 313 :

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

1, 313

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333


GCD of numbers is the greatest common divisor

So, the GCD (493, 463, 313, 333) = 1.

Find GCD of 493, 463, 313, 333 using Prime Factorization

Given numbers are 493, 463, 313, 333

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 463 are 463

Prime factors of 313 are 313

Prime factors of 333 are 3 x 3 x 37

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

Steps to Calculate GCD of 493, 463, 313, 333 using LCM Formula

Given numbers are 493, 463, 313, 333

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

Apply this formula for all numbers.

Step1:

LCM(493, 463) = 228259

GCD(493, 463) = ( 493 x 463 ) / 228259

= 493 / 463

= 493


Step2:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1


Step3:

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

= 1 / 333

= 1


So, Greatest Common Divisor of 493, 463, 313, 333 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 493, 463, 313, 333

Given numbers are 493, 463, 313, 333
The greatest common divisor of numbers 493, 463, 313, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 463, 313, 333 is 1.

FAQs on GCD of 493, 463, 313, 333 Calculator

1. What is the GCD of 493, 463, 313, 333?

GCD of given numbers 493, 463, 313, 333 is 1


2. How to calculate the greatest common divisor of 493, 463, 313, 333?

We can find the highest common divisor of 493, 463, 313, 333 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 493, 463, 313, 333 i.e 1.


3. How can I use the GCD of 493, 463, 313, 333Calculator?

Out the numbers 493, 463, 313, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.