GCD of 382, 886, 498 Calculator

Given Input numbers are 382, 886, 498

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

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

Greatest Common Divisior

We found the divisors of 382, 886, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 886, 498 is 2.

Therefore, GCD of numbers 382, 886, 498 is 2

Given Input Data is 382, 886, 498

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 382 is 2 x 191

Prime Factorization of 886 is 2 x 443

Prime Factorization of 498 is 2 x 3 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(382, 886) = 169226

GCD(382, 886) = ( 382 x 886 ) / 169226

GCD(382, 886) = 338452 / 169226

GCD(382, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

GCD of 382, 886, 498 is 2

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1. What is the GCD of 382, 886, 498?

GCD of 382, 886, 498 is 2

2. Where do I get the detailed procedure to find GCD of 382, 886, 498?

You can find a detailed procedure to find GCD of 382, 886, 498 on our page.

3. How to find GCD of 382, 886, 498 on a calculator?

You can find the GCD of 382, 886, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.