GCD of 497, 450, 814 Calculator

Given Input numbers are 497, 450, 814

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 497, 450, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 450, 814 is 1.

Therefore, GCD of numbers 497, 450, 814 is 1

Given Input Data is 497, 450, 814

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(497, 450) = 223650

GCD(497, 450) = ( 497 x 450 ) / 223650

GCD(497, 450) = 223650 / 223650

GCD(497, 450) = 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 497, 450, 814 is 1

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• GCD of 356, 312, 594
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1. What is the GCD of 497, 450, 814?

GCD of 497, 450, 814 is 1

2. Where do I get the detailed procedure to find GCD of 497, 450, 814?

You can find a detailed procedure to find GCD of 497, 450, 814 on our page.

3. How to find GCD of 497, 450, 814 on a calculator?

You can find the GCD of 497, 450, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.