GCD of 497, 695, 413 Calculator

Given Input numbers are 497, 695, 413

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 497, 695, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 695, 413 is 1.

Therefore, GCD of numbers 497, 695, 413 is 1

Given Input Data is 497, 695, 413

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 695 is 5 x 139

Prime Factorization of 413 is 7 x 59

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, 695) = 345415

GCD(497, 695) = ( 497 x 695 ) / 345415

GCD(497, 695) = 345415 / 345415

GCD(497, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 497, 695, 413 is 1

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1. What is the GCD of 497, 695, 413?

GCD of 497, 695, 413 is 1

2. Where do I get the detailed procedure to find GCD of 497, 695, 413?

You can find a detailed procedure to find GCD of 497, 695, 413 on our page.

3. How to find GCD of 497, 695, 413 on a calculator?

You can find the GCD of 497, 695, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.