GCD of 498, 347, 822 Calculator

Given Input numbers are 498, 347, 822

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

Divisors of 498

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

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

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 498, 347, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 347, 822 is 1.

Therefore, GCD of numbers 498, 347, 822 is 1

Given Input Data is 498, 347, 822

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 347 is 347

Prime Factorization of 822 is 2 x 3 x 137

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

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(498, 347) = 172806

GCD(498, 347) = ( 498 x 347 ) / 172806

GCD(498, 347) = 172806 / 172806

GCD(498, 347) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 498, 347, 822 is 1

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1. What is the GCD of 498, 347, 822?

GCD of 498, 347, 822 is 1

2. Where do I get the detailed procedure to find GCD of 498, 347, 822?

You can find a detailed procedure to find GCD of 498, 347, 822 on our page.

3. How to find GCD of 498, 347, 822 on a calculator?

You can find the GCD of 498, 347, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.