GCD of 497, 665, 299, 574 Calculator

Given Input numbers are 497, 665, 299, 574

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 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 497, 665, 299, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 665, 299, 574 is 1.

Therefore, GCD of numbers 497, 665, 299, 574 is 1

Given Input Data is 497, 665, 299, 574

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 299 is 13 x 23

Prime Factorization of 574 is 2 x 7 x 41

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, 665) = 47215

GCD(497, 665) = ( 497 x 665 ) / 47215

GCD(497, 665) = 330505 / 47215

GCD(497, 665) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 299

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

LCM(7, 299) = 2093

GCD(7, 299) = ( 7 x 299 ) / 2093

GCD(7, 299) = 2093 / 2093

GCD(7, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 497, 665, 299, 574 is 1

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1. What is the GCD of 497, 665, 299, 574?

GCD of 497, 665, 299, 574 is 1

2. Where do I get the detailed procedure to find GCD of 497, 665, 299, 574?

You can find a detailed procedure to find GCD of 497, 665, 299, 574 on our page.

3. How to find GCD of 497, 665, 299, 574 on a calculator?

You can find the GCD of 497, 665, 299, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.