GCD of 814, 498, 407 Calculator

Given Input numbers are 814, 498, 407

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

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 814, 498, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 498, 407 is 1.

Therefore, GCD of numbers 814, 498, 407 is 1

Given Input Data is 814, 498, 407

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 407 is 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(814, 498) = 202686

GCD(814, 498) = ( 814 x 498 ) / 202686

GCD(814, 498) = 405372 / 202686

GCD(814, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

GCD of 814, 498, 407 is 1

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1. What is the GCD of 814, 498, 407?

GCD of 814, 498, 407 is 1

2. Where do I get the detailed procedure to find GCD of 814, 498, 407?

You can find a detailed procedure to find GCD of 814, 498, 407 on our page.

3. How to find GCD of 814, 498, 407 on a calculator?

You can find the GCD of 814, 498, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.