GCD of 497, 628, 217 Calculator

Given Input numbers are 497, 628, 217

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 497, 628, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 628, 217 is 1.

Therefore, GCD of numbers 497, 628, 217 is 1

Given Input Data is 497, 628, 217

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 217 is 7 x 31

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, 628) = 312116

GCD(497, 628) = ( 497 x 628 ) / 312116

GCD(497, 628) = 312116 / 312116

GCD(497, 628) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 497, 628, 217 is 1

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1. What is the GCD of 497, 628, 217?

GCD of 497, 628, 217 is 1

2. Where do I get the detailed procedure to find GCD of 497, 628, 217?

You can find a detailed procedure to find GCD of 497, 628, 217 on our page.

3. How to find GCD of 497, 628, 217 on a calculator?

You can find the GCD of 497, 628, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.