GCD of 226, 682, 814 Calculator

Given Input numbers are 226, 682, 814

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 226, 682, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 682, 814 is 2.

Therefore, GCD of numbers 226, 682, 814 is 2

Given Input Data is 226, 682, 814

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 814 is 2 x 11 x 37

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(226, 682) = 77066

GCD(226, 682) = ( 226 x 682 ) / 77066

GCD(226, 682) = 154132 / 77066

GCD(226, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

GCD of 226, 682, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 501, 987
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• GCD of 814, 728, 232
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• GCD of 186, 353, 814

1. What is the GCD of 226, 682, 814?

GCD of 226, 682, 814 is 2

2. Where do I get the detailed procedure to find GCD of 226, 682, 814?

You can find a detailed procedure to find GCD of 226, 682, 814 on our page.

3. How to find GCD of 226, 682, 814 on a calculator?

You can find the GCD of 226, 682, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.