GCD of 268, 829, 814 Calculator

Given Input numbers are 268, 829, 814

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

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 268, 829, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 829, 814 is 1.

Therefore, GCD of numbers 268, 829, 814 is 1

Given Input Data is 268, 829, 814

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 829 is 829

Prime Factorization of 814 is 2 x 11 x 37

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(268, 829) = 222172

GCD(268, 829) = ( 268 x 829 ) / 222172

GCD(268, 829) = 222172 / 222172

GCD(268, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 268, 829, 814 is 1

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1. What is the GCD of 268, 829, 814?

GCD of 268, 829, 814 is 1

2. Where do I get the detailed procedure to find GCD of 268, 829, 814?

You can find a detailed procedure to find GCD of 268, 829, 814 on our page.

3. How to find GCD of 268, 829, 814 on a calculator?

You can find the GCD of 268, 829, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.