GCD of 498, 216, 344, 788 Calculator

Given Input numbers are 498, 216, 344, 788

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 498, 216, 344, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 216, 344, 788 is 2.

Therefore, GCD of numbers 498, 216, 344, 788 is 2

Given Input Data is 498, 216, 344, 788

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 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 788 is 2 x 2 x 197

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(498, 216) = 17928

GCD(498, 216) = ( 498 x 216 ) / 17928

GCD(498, 216) = 107568 / 17928

GCD(498, 216) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 344

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

LCM(6, 344) = 1032

GCD(6, 344) = ( 6 x 344 ) / 1032

GCD(6, 344) = 2064 / 1032

GCD(6, 344) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 498, 216, 344, 788 is 2

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1. What is the GCD of 498, 216, 344, 788?

GCD of 498, 216, 344, 788 is 2

2. Where do I get the detailed procedure to find GCD of 498, 216, 344, 788?

You can find a detailed procedure to find GCD of 498, 216, 344, 788 on our page.

3. How to find GCD of 498, 216, 344, 788 on a calculator?

You can find the GCD of 498, 216, 344, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.