GCD of 108, 818, 640 Calculator

Given Input numbers are 108, 818, 640

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 108, 818, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 818, 640 is 2.

Therefore, GCD of numbers 108, 818, 640 is 2

Given Input Data is 108, 818, 640

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 818 is 2 x 409

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(108, 818) = 44172

GCD(108, 818) = ( 108 x 818 ) / 44172

GCD(108, 818) = 88344 / 44172

GCD(108, 818) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

GCD of 108, 818, 640 is 2

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1. What is the GCD of 108, 818, 640?

GCD of 108, 818, 640 is 2

2. Where do I get the detailed procedure to find GCD of 108, 818, 640?

You can find a detailed procedure to find GCD of 108, 818, 640 on our page.

3. How to find GCD of 108, 818, 640 on a calculator?

You can find the GCD of 108, 818, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.