GCD of 217, 108, 369, 497 Calculator

Given Input numbers are 217, 108, 369, 497

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

Divisors of 217

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

1, 7, 31, 217

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 497

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

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 217, 108, 369, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 108, 369, 497 is 1.

Therefore, GCD of numbers 217, 108, 369, 497 is 1

Given Input Data is 217, 108, 369, 497

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 497 is 7 x 71

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(217, 108) = 23436

GCD(217, 108) = ( 217 x 108 ) / 23436

GCD(217, 108) = 23436 / 23436

GCD(217, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 217, 108, 369, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 208, 905, 995
• GCD of 463, 947, 834, 672
• GCD of 890, 859, 358, 137
• GCD of 204, 861, 359, 235
• GCD of 139, 546, 697, 845

1. What is the GCD of 217, 108, 369, 497?

GCD of 217, 108, 369, 497 is 1

2. Where do I get the detailed procedure to find GCD of 217, 108, 369, 497?

You can find a detailed procedure to find GCD of 217, 108, 369, 497 on our page.

3. How to find GCD of 217, 108, 369, 497 on a calculator?

You can find the GCD of 217, 108, 369, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.