GCD of 497, 713, 359, 727 Calculator

Given Input numbers are 497, 713, 359, 727

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 497, 713, 359, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 713, 359, 727 is 1.

Therefore, GCD of numbers 497, 713, 359, 727 is 1

Given Input Data is 497, 713, 359, 727

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 713 is 23 x 31

Prime Factorization of 359 is 359

Prime Factorization of 727 is 727

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, 713) = 354361

GCD(497, 713) = ( 497 x 713 ) / 354361

GCD(497, 713) = 354361 / 354361

GCD(497, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 497, 713, 359, 727 is 1

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1. What is the GCD of 497, 713, 359, 727?

GCD of 497, 713, 359, 727 is 1

2. Where do I get the detailed procedure to find GCD of 497, 713, 359, 727?

You can find a detailed procedure to find GCD of 497, 713, 359, 727 on our page.

3. How to find GCD of 497, 713, 359, 727 on a calculator?

You can find the GCD of 497, 713, 359, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.