GCD of 326, 686, 498 Calculator

Given Input numbers are 326, 686, 498

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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 326, 686, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 686, 498 is 2.

Therefore, GCD of numbers 326, 686, 498 is 2

Given Input Data is 326, 686, 498

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(326, 686) = 111818

GCD(326, 686) = ( 326 x 686 ) / 111818

GCD(326, 686) = 223636 / 111818

GCD(326, 686) = 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 326, 686, 498 is 2

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1. What is the GCD of 326, 686, 498?

GCD of 326, 686, 498 is 2

2. Where do I get the detailed procedure to find GCD of 326, 686, 498?

You can find a detailed procedure to find GCD of 326, 686, 498 on our page.

3. How to find GCD of 326, 686, 498 on a calculator?

You can find the GCD of 326, 686, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.