GCD of 678, 656, 998 Calculator

Given Input numbers are 678, 656, 998

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 678, 656, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 656, 998 is 2.

Therefore, GCD of numbers 678, 656, 998 is 2

Given Input Data is 678, 656, 998

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 998 is 2 x 499

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(678, 656) = 222384

GCD(678, 656) = ( 678 x 656 ) / 222384

GCD(678, 656) = 444768 / 222384

GCD(678, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

GCD of 678, 656, 998 is 2

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1. What is the GCD of 678, 656, 998?

GCD of 678, 656, 998 is 2

2. Where do I get the detailed procedure to find GCD of 678, 656, 998?

You can find a detailed procedure to find GCD of 678, 656, 998 on our page.

3. How to find GCD of 678, 656, 998 on a calculator?

You can find the GCD of 678, 656, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.