GCD of 234, 814, 457 Calculator

Given Input numbers are 234, 814, 457

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 814

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

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 234, 814, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 814, 457 is 1.

Therefore, GCD of numbers 234, 814, 457 is 1

Given Input Data is 234, 814, 457

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 457 is 457

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(234, 814) = 95238

GCD(234, 814) = ( 234 x 814 ) / 95238

GCD(234, 814) = 190476 / 95238

GCD(234, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 457

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

LCM(2, 457) = 914

GCD(2, 457) = ( 2 x 457 ) / 914

GCD(2, 457) = 914 / 914

GCD(2, 457) = 1

GCD of 234, 814, 457 is 1

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• GCD of 146, 169, 810
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1. What is the GCD of 234, 814, 457?

GCD of 234, 814, 457 is 1

2. Where do I get the detailed procedure to find GCD of 234, 814, 457?

You can find a detailed procedure to find GCD of 234, 814, 457 on our page.

3. How to find GCD of 234, 814, 457 on a calculator?

You can find the GCD of 234, 814, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.