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GCD of 468, 498, 363, 831 Calculator

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


Online GCD Calculator is useful to find the GCD of 468, 498, 363, 831 quickly. Get the easiest ways to solve the greatest common divisor of 468, 498, 363, 831 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 468, 498, 363, 831 with Factoring?

Given Input numbers are 468, 498, 363, 831

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831


GCD of numbers is the greatest common divisor

So, the GCD (468, 498, 363, 831) = 3.

Find GCD of 468, 498, 363, 831 using Prime Factorization

Given numbers are 468, 498, 363, 831

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 498 are 2 x 3 x 83

Prime factors of 363 are 3 x 11 x 11

Prime factors of 831 are 3 x 277

The highest common occurrence is 31

Therefore, GCD of 468, 498, 363, 831 is 3.

Steps to Calculate GCD of 468, 498, 363, 831 using LCM Formula

Given numbers are 468, 498, 363, 831

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

Apply this formula for all numbers.

Step1:

LCM(468, 498) = 38844

GCD(468, 498) = ( 468 x 498 ) / 38844

= 468 / 498

= 468


Step2:

LCM(6, 363) = 726

GCD(6, 363) = ( 6 x 363 ) / 726

= 6 / 363

= 6


Step3:

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

= 3 / 831

= 3


So, Greatest Common Divisor of 468, 498, 363, 831 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 468, 498, 363, 831

Given numbers are 468, 498, 363, 831
The greatest common divisor of numbers 468, 498, 363, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 498, 363, 831 is 3.

FAQs on GCD of 468, 498, 363, 831 Calculator

1. What is the GCD of 468, 498, 363, 831?

GCD of given numbers 468, 498, 363, 831 is 3


2. How to calculate the greatest common divisor of 468, 498, 363, 831?

We can find the highest common divisor of 468, 498, 363, 831 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 468, 498, 363, 831 i.e 3.


3. How can I use the GCD of 468, 498, 363, 831Calculator?

Out the numbers 468, 498, 363, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.